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Simplifying 3(6x + -5) + -2(4x + -17) = 3(3x + 5) + -12 Reorder the terms: 3(-5 + 6x) + -2(4x + -17) = 3(3x + 5) + -12 (-5 * 3 + 6x * 3) + -2(4x + -17) = 3(3x + 5) + -12 (-15 + 18x) + -2(4x + -17) = 3(3x + 5) + -12 Reorder the terms: -15 + 18x + -2(-17 + 4x) = 3(3x + 5) + -12 -15 + 18x + (-17 * -2 + 4x * -2) = 3(3x + 5) + -12 -15 + 18x + (34 + -8x) = 3(3x + 5) + -12 Reorder the terms: -15 + 34 + 18x + -8x = 3(3x + 5) + -12 Combine like terms: -15 + 34 = 19 19 + 18x + -8x = 3(3x + 5) + -12 Combine like terms: 18x + -8x = 10x 19 + 10x = 3(3x + 5) + -12 Reorder the terms: 19 + 10x = 3(5 + 3x) + -12 19 + 10x = (5 * 3 + 3x * 3) + -12 19 + 10x = (15 + 9x) + -12 Reorder the terms: 19 + 10x = 15 + -12 + 9x Combine like terms: 15 + -12 = 3 19 + 10x = 3 + 9x Solving 19 + 10x = 3 + 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. 19 + 10x + -9x = 3 + 9x + -9x Combine like terms: 10x + -9x = 1x 19 + 1x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 19 + 1x = 3 + 0 19 + 1x = 3 Add '-19' to each side of the equation. 19 + -19 + 1x = 3 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 3 + -19 1x = 3 + -19 Combine like terms: 3 + -19 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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