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Simplifying 12 + -2x = 3(2x + 17) Reorder the terms: 12 + -2x = 3(17 + 2x) 12 + -2x = (17 * 3 + 2x * 3) 12 + -2x = (51 + 6x) Solving 12 + -2x = 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. 12 + -2x + -6x = 51 + 6x + -6x Combine like terms: -2x + -6x = -8x 12 + -8x = 51 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -8x = 51 + 0 12 + -8x = 51 Add '-12' to each side of the equation. 12 + -12 + -8x = 51 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 51 + -12 -8x = 51 + -12 Combine like terms: 51 + -12 = 39 -8x = 39 Divide each side by '-8'. x = -4.875 Simplifying x = -4.875
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