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Simplifying 8(1 + -1x) + -6x = -15(x + 1) (1 * 8 + -1x * 8) + -6x = -15(x + 1) (8 + -8x) + -6x = -15(x + 1) Combine like terms: -8x + -6x = -14x 8 + -14x = -15(x + 1) Reorder the terms: 8 + -14x = -15(1 + x) 8 + -14x = (1 * -15 + x * -15) 8 + -14x = (-15 + -15x) Solving 8 + -14x = -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 + -14x + 15x = -15 + -15x + 15x Combine like terms: -14x + 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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