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Simplifying 3(6x + -1) + 4(10 + -2x) = 3(3x + 5) + -1 Reorder the terms: 3(-1 + 6x) + 4(10 + -2x) = 3(3x + 5) + -1 (-1 * 3 + 6x * 3) + 4(10 + -2x) = 3(3x + 5) + -1 (-3 + 18x) + 4(10 + -2x) = 3(3x + 5) + -1 -3 + 18x + (10 * 4 + -2x * 4) = 3(3x + 5) + -1 -3 + 18x + (40 + -8x) = 3(3x + 5) + -1 Reorder the terms: -3 + 40 + 18x + -8x = 3(3x + 5) + -1 Combine like terms: -3 + 40 = 37 37 + 18x + -8x = 3(3x + 5) + -1 Combine like terms: 18x + -8x = 10x 37 + 10x = 3(3x + 5) + -1 Reorder the terms: 37 + 10x = 3(5 + 3x) + -1 37 + 10x = (5 * 3 + 3x * 3) + -1 37 + 10x = (15 + 9x) + -1 Reorder the terms: 37 + 10x = 15 + -1 + 9x Combine like terms: 15 + -1 = 14 37 + 10x = 14 + 9x Solving 37 + 10x = 14 + 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. 37 + 10x + -9x = 14 + 9x + -9x Combine like terms: 10x + -9x = 1x 37 + 1x = 14 + 9x + -9x Combine like terms: 9x + -9x = 0 37 + 1x = 14 + 0 37 + 1x = 14 Add '-37' to each side of the equation. 37 + -37 + 1x = 14 + -37 Combine like terms: 37 + -37 = 0 0 + 1x = 14 + -37 1x = 14 + -37 Combine like terms: 14 + -37 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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