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Simplifying 3(-3x + 8) + 15 = -6x + 51 Reorder the terms: 3(8 + -3x) + 15 = -6x + 51 (8 * 3 + -3x * 3) + 15 = -6x + 51 (24 + -9x) + 15 = -6x + 51 Reorder the terms: 24 + 15 + -9x = -6x + 51 Combine like terms: 24 + 15 = 39 39 + -9x = -6x + 51 Reorder the terms: 39 + -9x = 51 + -6x Solving 39 + -9x = 51 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 39 + -9x + 6x = 51 + -6x + 6x Combine like terms: -9x + 6x = -3x 39 + -3x = 51 + -6x + 6x Combine like terms: -6x + 6x = 0 39 + -3x = 51 + 0 39 + -3x = 51 Add '-39' to each side of the equation. 39 + -39 + -3x = 51 + -39 Combine like terms: 39 + -39 = 0 0 + -3x = 51 + -39 -3x = 51 + -39 Combine like terms: 51 + -39 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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