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Simplifying -2(x + -4) = 5(3x + 7) Reorder the terms: -2(-4 + x) = 5(3x + 7) (-4 * -2 + x * -2) = 5(3x + 7) (8 + -2x) = 5(3x + 7) Reorder the terms: 8 + -2x = 5(7 + 3x) 8 + -2x = (7 * 5 + 3x * 5) 8 + -2x = (35 + 15x) Solving 8 + -2x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + -2x + -15x = 35 + 15x + -15x Combine like terms: -2x + -15x = -17x 8 + -17x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -17x = 35 + 0 8 + -17x = 35 Add '-8' to each side of the equation. 8 + -8 + -17x = 35 + -8 Combine like terms: 8 + -8 = 0 0 + -17x = 35 + -8 -17x = 35 + -8 Combine like terms: 35 + -8 = 27 -17x = 27 Divide each side by '-17'. x = -1.588235294 Simplifying x = -1.588235294
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