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Simplifying 3(6x + -1) + -4(2x + -16) = 3(3x + 3) + -4 Reorder the terms: 3(-1 + 6x) + -4(2x + -16) = 3(3x + 3) + -4 (-1 * 3 + 6x * 3) + -4(2x + -16) = 3(3x + 3) + -4 (-3 + 18x) + -4(2x + -16) = 3(3x + 3) + -4 Reorder the terms: -3 + 18x + -4(-16 + 2x) = 3(3x + 3) + -4 -3 + 18x + (-16 * -4 + 2x * -4) = 3(3x + 3) + -4 -3 + 18x + (64 + -8x) = 3(3x + 3) + -4 Reorder the terms: -3 + 64 + 18x + -8x = 3(3x + 3) + -4 Combine like terms: -3 + 64 = 61 61 + 18x + -8x = 3(3x + 3) + -4 Combine like terms: 18x + -8x = 10x 61 + 10x = 3(3x + 3) + -4 Reorder the terms: 61 + 10x = 3(3 + 3x) + -4 61 + 10x = (3 * 3 + 3x * 3) + -4 61 + 10x = (9 + 9x) + -4 Reorder the terms: 61 + 10x = 9 + -4 + 9x Combine like terms: 9 + -4 = 5 61 + 10x = 5 + 9x Solving 61 + 10x = 5 + 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. 61 + 10x + -9x = 5 + 9x + -9x Combine like terms: 10x + -9x = 1x 61 + 1x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 61 + 1x = 5 + 0 61 + 1x = 5 Add '-61' to each side of the equation. 61 + -61 + 1x = 5 + -61 Combine like terms: 61 + -61 = 0 0 + 1x = 5 + -61 1x = 5 + -61 Combine like terms: 5 + -61 = -56 1x = -56 Divide each side by '1'. x = -56 Simplifying x = -56
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