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Simplifying -1(19x + 51) + -1(11x + 4) = -1(39x + 45) + (8x + -7) + -24 Reorder the terms: -1(51 + 19x) + -1(11x + 4) = -1(39x + 45) + (8x + -7) + -24 (51 * -1 + 19x * -1) + -1(11x + 4) = -1(39x + 45) + (8x + -7) + -24 (-51 + -19x) + -1(11x + 4) = -1(39x + 45) + (8x + -7) + -24 Reorder the terms: -51 + -19x + -1(4 + 11x) = -1(39x + 45) + (8x + -7) + -24 -51 + -19x + (4 * -1 + 11x * -1) = -1(39x + 45) + (8x + -7) + -24 -51 + -19x + (-4 + -11x) = -1(39x + 45) + (8x + -7) + -24 Reorder the terms: -51 + -4 + -19x + -11x = -1(39x + 45) + (8x + -7) + -24 Combine like terms: -51 + -4 = -55 -55 + -19x + -11x = -1(39x + 45) + (8x + -7) + -24 Combine like terms: -19x + -11x = -30x -55 + -30x = -1(39x + 45) + (8x + -7) + -24 Reorder the terms: -55 + -30x = -1(45 + 39x) + (8x + -7) + -24 -55 + -30x = (45 * -1 + 39x * -1) + (8x + -7) + -24 -55 + -30x = (-45 + -39x) + (8x + -7) + -24 Reorder the terms: -55 + -30x = -45 + -39x + (-7 + 8x) + -24 Remove parenthesis around (-7 + 8x) -55 + -30x = -45 + -39x + -7 + 8x + -24 Reorder the terms: -55 + -30x = -45 + -7 + -24 + -39x + 8x Combine like terms: -45 + -7 = -52 -55 + -30x = -52 + -24 + -39x + 8x Combine like terms: -52 + -24 = -76 -55 + -30x = -76 + -39x + 8x Combine like terms: -39x + 8x = -31x -55 + -30x = -76 + -31x Solving -55 + -30x = -76 + -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. -55 + -30x + 31x = -76 + -31x + 31x Combine like terms: -30x + 31x = 1x -55 + 1x = -76 + -31x + 31x Combine like terms: -31x + 31x = 0 -55 + 1x = -76 + 0 -55 + 1x = -76 Add '55' to each side of the equation. -55 + 55 + 1x = -76 + 55 Combine like terms: -55 + 55 = 0 0 + 1x = -76 + 55 1x = -76 + 55 Combine like terms: -76 + 55 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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