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Simplifying 15x + -2(3x + -6) = 8x + 10 Reorder the terms: 15x + -2(-6 + 3x) = 8x + 10 15x + (-6 * -2 + 3x * -2) = 8x + 10 15x + (12 + -6x) = 8x + 10 Reorder the terms: 12 + 15x + -6x = 8x + 10 Combine like terms: 15x + -6x = 9x 12 + 9x = 8x + 10 Reorder the terms: 12 + 9x = 10 + 8x Solving 12 + 9x = 10 + 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. 12 + 9x + -8x = 10 + 8x + -8x Combine like terms: 9x + -8x = 1x 12 + 1x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + 1x = 10 + 0 12 + 1x = 10 Add '-12' to each side of the equation. 12 + -12 + 1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 10 + -12 1x = 10 + -12 Combine like terms: 10 + -12 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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