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Simplifying -8(x + -7) + -1(4x + -3) = -13x Reorder the terms: -8(-7 + x) + -1(4x + -3) = -13x (-7 * -8 + x * -8) + -1(4x + -3) = -13x (56 + -8x) + -1(4x + -3) = -13x Reorder the terms: 56 + -8x + -1(-3 + 4x) = -13x 56 + -8x + (-3 * -1 + 4x * -1) = -13x 56 + -8x + (3 + -4x) = -13x Reorder the terms: 56 + 3 + -8x + -4x = -13x Combine like terms: 56 + 3 = 59 59 + -8x + -4x = -13x Combine like terms: -8x + -4x = -12x 59 + -12x = -13x Solving 59 + -12x = -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 59 + -12x + 13x = -13x + 13x Combine like terms: -12x + 13x = 1x 59 + 1x = -13x + 13x Combine like terms: -13x + 13x = 0 59 + 1x = 0 Add '-59' to each side of the equation. 59 + -59 + 1x = 0 + -59 Combine like terms: 59 + -59 = 0 0 + 1x = 0 + -59 1x = 0 + -59 Combine like terms: 0 + -59 = -59 1x = -59 Divide each side by '1'. x = -59 Simplifying x = -59
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