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Simplifying 4(3x + -1) + -2(x + 5) = 3(4 + 3x) Reorder the terms: 4(-1 + 3x) + -2(x + 5) = 3(4 + 3x) (-1 * 4 + 3x * 4) + -2(x + 5) = 3(4 + 3x) (-4 + 12x) + -2(x + 5) = 3(4 + 3x) Reorder the terms: -4 + 12x + -2(5 + x) = 3(4 + 3x) -4 + 12x + (5 * -2 + x * -2) = 3(4 + 3x) -4 + 12x + (-10 + -2x) = 3(4 + 3x) Reorder the terms: -4 + -10 + 12x + -2x = 3(4 + 3x) Combine like terms: -4 + -10 = -14 -14 + 12x + -2x = 3(4 + 3x) Combine like terms: 12x + -2x = 10x -14 + 10x = 3(4 + 3x) -14 + 10x = (4 * 3 + 3x * 3) -14 + 10x = (12 + 9x) Solving -14 + 10x = 12 + 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. -14 + 10x + -9x = 12 + 9x + -9x Combine like terms: 10x + -9x = 1x -14 + 1x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -14 + 1x = 12 + 0 -14 + 1x = 12 Add '14' to each side of the equation. -14 + 14 + 1x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 12 + 14 1x = 12 + 14 Combine like terms: 12 + 14 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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