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Simplifying 15 + -6x = -8(x + 2) + 7 Reorder the terms: 15 + -6x = -8(2 + x) + 7 15 + -6x = (2 * -8 + x * -8) + 7 15 + -6x = (-16 + -8x) + 7 Reorder the terms: 15 + -6x = -16 + 7 + -8x Combine like terms: -16 + 7 = -9 15 + -6x = -9 + -8x Solving 15 + -6x = -9 + -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. 15 + -6x + 8x = -9 + -8x + 8x Combine like terms: -6x + 8x = 2x 15 + 2x = -9 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + 2x = -9 + 0 15 + 2x = -9 Add '-15' to each side of the equation. 15 + -15 + 2x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -9 + -15 2x = -9 + -15 Combine like terms: -9 + -15 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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