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Simplifying 2(x + 3) + -1(3x + -1) = 4(x + -5) Reorder the terms: 2(3 + x) + -1(3x + -1) = 4(x + -5) (3 * 2 + x * 2) + -1(3x + -1) = 4(x + -5) (6 + 2x) + -1(3x + -1) = 4(x + -5) Reorder the terms: 6 + 2x + -1(-1 + 3x) = 4(x + -5) 6 + 2x + (-1 * -1 + 3x * -1) = 4(x + -5) 6 + 2x + (1 + -3x) = 4(x + -5) Reorder the terms: 6 + 1 + 2x + -3x = 4(x + -5) Combine like terms: 6 + 1 = 7 7 + 2x + -3x = 4(x + -5) Combine like terms: 2x + -3x = -1x 7 + -1x = 4(x + -5) Reorder the terms: 7 + -1x = 4(-5 + x) 7 + -1x = (-5 * 4 + x * 4) 7 + -1x = (-20 + 4x) Solving 7 + -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. 7 + -1x + -4x = -20 + 4x + -4x Combine like terms: -1x + -4x = -5x 7 + -5x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -5x = -20 + 0 7 + -5x = -20 Add '-7' to each side of the equation. 7 + -7 + -5x = -20 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -20 + -7 -5x = -20 + -7 Combine like terms: -20 + -7 = -27 -5x = -27 Divide each side by '-5'. x = 5.4 Simplifying x = 5.4
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