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Simplifying -1(5 + 2x) + 3(x + -3) = 4(x + -5) (5 * -1 + 2x * -1) + 3(x + -3) = 4(x + -5) (-5 + -2x) + 3(x + -3) = 4(x + -5) Reorder the terms: -5 + -2x + 3(-3 + x) = 4(x + -5) -5 + -2x + (-3 * 3 + x * 3) = 4(x + -5) -5 + -2x + (-9 + 3x) = 4(x + -5) Reorder the terms: -5 + -9 + -2x + 3x = 4(x + -5) Combine like terms: -5 + -9 = -14 -14 + -2x + 3x = 4(x + -5) Combine like terms: -2x + 3x = 1x -14 + 1x = 4(x + -5) Reorder the terms: -14 + 1x = 4(-5 + x) -14 + 1x = (-5 * 4 + x * 4) -14 + 1x = (-20 + 4x) Solving -14 + 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. -14 + 1x + -4x = -20 + 4x + -4x Combine like terms: 1x + -4x = -3x -14 + -3x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + -3x = -20 + 0 -14 + -3x = -20 Add '14' to each side of the equation. -14 + 14 + -3x = -20 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = -20 + 14 -3x = -20 + 14 Combine like terms: -20 + 14 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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