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Simplifying 8 + -1(6x + -7) = 10 + -2(24 + -2x) Reorder the terms: 8 + -1(-7 + 6x) = 10 + -2(24 + -2x) 8 + (-7 * -1 + 6x * -1) = 10 + -2(24 + -2x) 8 + (7 + -6x) = 10 + -2(24 + -2x) Combine like terms: 8 + 7 = 15 15 + -6x = 10 + -2(24 + -2x) 15 + -6x = 10 + (24 * -2 + -2x * -2) 15 + -6x = 10 + (-48 + 4x) Combine like terms: 10 + -48 = -38 15 + -6x = -38 + 4x Solving 15 + -6x = -38 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + -6x + -4x = -38 + 4x + -4x Combine like terms: -6x + -4x = -10x 15 + -10x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -10x = -38 + 0 15 + -10x = -38 Add '-15' to each side of the equation. 15 + -15 + -10x = -38 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = -38 + -15 -10x = -38 + -15 Combine like terms: -38 + -15 = -53 -10x = -53 Divide each side by '-10'. x = 5.3 Simplifying x = 5.3
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