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Simplifying 2(3 + -1x) + -3(4 + -1x) = 4(5 + -1x) (3 * 2 + -1x * 2) + -3(4 + -1x) = 4(5 + -1x) (6 + -2x) + -3(4 + -1x) = 4(5 + -1x) 6 + -2x + (4 * -3 + -1x * -3) = 4(5 + -1x) 6 + -2x + (-12 + 3x) = 4(5 + -1x) Reorder the terms: 6 + -12 + -2x + 3x = 4(5 + -1x) Combine like terms: 6 + -12 = -6 -6 + -2x + 3x = 4(5 + -1x) Combine like terms: -2x + 3x = 1x -6 + 1x = 4(5 + -1x) -6 + 1x = (5 * 4 + -1x * 4) -6 + 1x = (20 + -4x) Solving -6 + 1x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + 1x + 4x = 20 + -4x + 4x Combine like terms: 1x + 4x = 5x -6 + 5x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 5x = 20 + 0 -6 + 5x = 20 Add '6' to each side of the equation. -6 + 6 + 5x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 20 + 6 5x = 20 + 6 Combine like terms: 20 + 6 = 26 5x = 26 Divide each side by '5'. x = 5.2 Simplifying x = 5.2
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