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Simplifying 5 + -2(x + -1) = 2(3 + 4x) + 7 Reorder the terms: 5 + -2(-1 + x) = 2(3 + 4x) + 7 5 + (-1 * -2 + x * -2) = 2(3 + 4x) + 7 5 + (2 + -2x) = 2(3 + 4x) + 7 Combine like terms: 5 + 2 = 7 7 + -2x = 2(3 + 4x) + 7 7 + -2x = (3 * 2 + 4x * 2) + 7 7 + -2x = (6 + 8x) + 7 Reorder the terms: 7 + -2x = 6 + 7 + 8x Combine like terms: 6 + 7 = 13 7 + -2x = 13 + 8x Solving 7 + -2x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + -2x + -8x = 13 + 8x + -8x Combine like terms: -2x + -8x = -10x 7 + -10x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -10x = 13 + 0 7 + -10x = 13 Add '-7' to each side of the equation. 7 + -7 + -10x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -10x = 13 + -7 -10x = 13 + -7 Combine like terms: 13 + -7 = 6 -10x = 6 Divide each side by '-10'. x = -0.6 Simplifying x = -0.6
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