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Simplifying 3(6x + -5) + -2(4x + -16) = 3(3x + 2) + -4 Reorder the terms: 3(-5 + 6x) + -2(4x + -16) = 3(3x + 2) + -4 (-5 * 3 + 6x * 3) + -2(4x + -16) = 3(3x + 2) + -4 (-15 + 18x) + -2(4x + -16) = 3(3x + 2) + -4 Reorder the terms: -15 + 18x + -2(-16 + 4x) = 3(3x + 2) + -4 -15 + 18x + (-16 * -2 + 4x * -2) = 3(3x + 2) + -4 -15 + 18x + (32 + -8x) = 3(3x + 2) + -4 Reorder the terms: -15 + 32 + 18x + -8x = 3(3x + 2) + -4 Combine like terms: -15 + 32 = 17 17 + 18x + -8x = 3(3x + 2) + -4 Combine like terms: 18x + -8x = 10x 17 + 10x = 3(3x + 2) + -4 Reorder the terms: 17 + 10x = 3(2 + 3x) + -4 17 + 10x = (2 * 3 + 3x * 3) + -4 17 + 10x = (6 + 9x) + -4 Reorder the terms: 17 + 10x = 6 + -4 + 9x Combine like terms: 6 + -4 = 2 17 + 10x = 2 + 9x Solving 17 + 10x = 2 + 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. 17 + 10x + -9x = 2 + 9x + -9x Combine like terms: 10x + -9x = 1x 17 + 1x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + 1x = 2 + 0 17 + 1x = 2 Add '-17' to each side of the equation. 17 + -17 + 1x = 2 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 2 + -17 1x = 2 + -17 Combine like terms: 2 + -17 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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