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Simplifying 2(5x + 6) = 3(3x + -7) + 14 Reorder the terms: 2(6 + 5x) = 3(3x + -7) + 14 (6 * 2 + 5x * 2) = 3(3x + -7) + 14 (12 + 10x) = 3(3x + -7) + 14 Reorder the terms: 12 + 10x = 3(-7 + 3x) + 14 12 + 10x = (-7 * 3 + 3x * 3) + 14 12 + 10x = (-21 + 9x) + 14 Reorder the terms: 12 + 10x = -21 + 14 + 9x Combine like terms: -21 + 14 = -7 12 + 10x = -7 + 9x Solving 12 + 10x = -7 + 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 + 10x + -9x = -7 + 9x + -9x Combine like terms: 10x + -9x = 1x 12 + 1x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 1x = -7 + 0 12 + 1x = -7 Add '-12' to each side of the equation. 12 + -12 + 1x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -7 + -12 1x = -7 + -12 Combine like terms: -7 + -12 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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