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Simplifying 12 = 3x + 3(2x + -17) Reorder the terms: 12 = 3x + 3(-17 + 2x) 12 = 3x + (-17 * 3 + 2x * 3) 12 = 3x + (-51 + 6x) Reorder the terms: 12 = -51 + 3x + 6x Combine like terms: 3x + 6x = 9x 12 = -51 + 9x Solving 12 = -51 + 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. 12 + -9x = -51 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -9x = -51 + 0 12 + -9x = -51 Add '-12' to each side of the equation. 12 + -12 + -9x = -51 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -51 + -12 -9x = -51 + -12 Combine like terms: -51 + -12 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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