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Simplifying -2x + 5(x + 7) = -8(-3x + -7) Reorder the terms: -2x + 5(7 + x) = -8(-3x + -7) -2x + (7 * 5 + x * 5) = -8(-3x + -7) -2x + (35 + 5x) = -8(-3x + -7) Reorder the terms: 35 + -2x + 5x = -8(-3x + -7) Combine like terms: -2x + 5x = 3x 35 + 3x = -8(-3x + -7) Reorder the terms: 35 + 3x = -8(-7 + -3x) 35 + 3x = (-7 * -8 + -3x * -8) 35 + 3x = (56 + 24x) Solving 35 + 3x = 56 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 35 + 3x + -24x = 56 + 24x + -24x Combine like terms: 3x + -24x = -21x 35 + -21x = 56 + 24x + -24x Combine like terms: 24x + -24x = 0 35 + -21x = 56 + 0 35 + -21x = 56 Add '-35' to each side of the equation. 35 + -35 + -21x = 56 + -35 Combine like terms: 35 + -35 = 0 0 + -21x = 56 + -35 -21x = 56 + -35 Combine like terms: 56 + -35 = 21 -21x = 21 Divide each side by '-21'. x = -1 Simplifying x = -1
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