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Simplifying 9x + -3(x + -2) = 9x + 15 + -2x Reorder the terms: 9x + -3(-2 + x) = 9x + 15 + -2x 9x + (-2 * -3 + x * -3) = 9x + 15 + -2x 9x + (6 + -3x) = 9x + 15 + -2x Reorder the terms: 6 + 9x + -3x = 9x + 15 + -2x Combine like terms: 9x + -3x = 6x 6 + 6x = 9x + 15 + -2x Reorder the terms: 6 + 6x = 15 + 9x + -2x Combine like terms: 9x + -2x = 7x 6 + 6x = 15 + 7x Solving 6 + 6x = 15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 6x + -7x = 15 + 7x + -7x Combine like terms: 6x + -7x = -1x 6 + -1x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -1x = 15 + 0 6 + -1x = 15 Add '-6' to each side of the equation. 6 + -6 + -1x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 15 + -6 -1x = 15 + -6 Combine like terms: 15 + -6 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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