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Simplifying 6(x + 2) + -3 = 9x + -15 Reorder the terms: 6(2 + x) + -3 = 9x + -15 (2 * 6 + x * 6) + -3 = 9x + -15 (12 + 6x) + -3 = 9x + -15 Reorder the terms: 12 + -3 + 6x = 9x + -15 Combine like terms: 12 + -3 = 9 9 + 6x = 9x + -15 Reorder the terms: 9 + 6x = -15 + 9x Solving 9 + 6x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 9 + 6x + -9x = -15 + 9x + -9x Combine like terms: 6x + -9x = -3x 9 + -3x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + -3x = -15 + 0 9 + -3x = -15 Add '-9' to each side of the equation. 9 + -9 + -3x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -15 + -9 -3x = -15 + -9 Combine like terms: -15 + -9 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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