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Simplifying 8(x + 1) = 5 + -2(8x + 6) Reorder the terms: 8(1 + x) = 5 + -2(8x + 6) (1 * 8 + x * 8) = 5 + -2(8x + 6) (8 + 8x) = 5 + -2(8x + 6) Reorder the terms: 8 + 8x = 5 + -2(6 + 8x) 8 + 8x = 5 + (6 * -2 + 8x * -2) 8 + 8x = 5 + (-12 + -16x) Combine like terms: 5 + -12 = -7 8 + 8x = -7 + -16x Solving 8 + 8x = -7 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 8 + 8x + 16x = -7 + -16x + 16x Combine like terms: 8x + 16x = 24x 8 + 24x = -7 + -16x + 16x Combine like terms: -16x + 16x = 0 8 + 24x = -7 + 0 8 + 24x = -7 Add '-8' to each side of the equation. 8 + -8 + 24x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 24x = -7 + -8 24x = -7 + -8 Combine like terms: -7 + -8 = -15 24x = -15 Divide each side by '24'. x = -0.625 Simplifying x = -0.625
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