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Simplifying 8[-2x + 1] = -15[x + 1] Reorder the terms: 8[1 + -2x] = -15[x + 1] [1 * 8 + -2x * 8] = -15[x + 1] [8 + -16x] = -15[x + 1] Reorder the terms: 8 + -16x = -15[1 + x] 8 + -16x = [1 * -15 + x * -15] 8 + -16x = [-15 + -15x] Solving 8 + -16x = -15 + -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 + -16x + 15x = -15 + -15x + 15x Combine like terms: -16x + 15x = -1x 8 + -1x = -15 + -15x + 15x Combine like terms: -15x + 15x = 0 8 + -1x = -15 + 0 8 + -1x = -15 Add '-8' to each side of the equation. 8 + -8 + -1x = -15 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -15 + -8 -1x = -15 + -8 Combine like terms: -15 + -8 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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