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Simplifying 3x + -4(x + 11) = -2(x + 8) + -43 Reorder the terms: 3x + -4(11 + x) = -2(x + 8) + -43 3x + (11 * -4 + x * -4) = -2(x + 8) + -43 3x + (-44 + -4x) = -2(x + 8) + -43 Reorder the terms: -44 + 3x + -4x = -2(x + 8) + -43 Combine like terms: 3x + -4x = -1x -44 + -1x = -2(x + 8) + -43 Reorder the terms: -44 + -1x = -2(8 + x) + -43 -44 + -1x = (8 * -2 + x * -2) + -43 -44 + -1x = (-16 + -2x) + -43 Reorder the terms: -44 + -1x = -16 + -43 + -2x Combine like terms: -16 + -43 = -59 -44 + -1x = -59 + -2x Solving -44 + -1x = -59 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -44 + -1x + 2x = -59 + -2x + 2x Combine like terms: -1x + 2x = 1x -44 + 1x = -59 + -2x + 2x Combine like terms: -2x + 2x = 0 -44 + 1x = -59 + 0 -44 + 1x = -59 Add '44' to each side of the equation. -44 + 44 + 1x = -59 + 44 Combine like terms: -44 + 44 = 0 0 + 1x = -59 + 44 1x = -59 + 44 Combine like terms: -59 + 44 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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