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Simplifying -8x + -13(x + 7) = -5(4x + 6) Reorder the terms: -8x + -13(7 + x) = -5(4x + 6) -8x + (7 * -13 + x * -13) = -5(4x + 6) -8x + (-91 + -13x) = -5(4x + 6) Reorder the terms: -91 + -8x + -13x = -5(4x + 6) Combine like terms: -8x + -13x = -21x -91 + -21x = -5(4x + 6) Reorder the terms: -91 + -21x = -5(6 + 4x) -91 + -21x = (6 * -5 + 4x * -5) -91 + -21x = (-30 + -20x) Solving -91 + -21x = -30 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -91 + -21x + 20x = -30 + -20x + 20x Combine like terms: -21x + 20x = -1x -91 + -1x = -30 + -20x + 20x Combine like terms: -20x + 20x = 0 -91 + -1x = -30 + 0 -91 + -1x = -30 Add '91' to each side of the equation. -91 + 91 + -1x = -30 + 91 Combine like terms: -91 + 91 = 0 0 + -1x = -30 + 91 -1x = -30 + 91 Combine like terms: -30 + 91 = 61 -1x = 61 Divide each side by '-1'. x = -61 Simplifying x = -61
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