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Simplifying (4x + -1x) + -1(x + -5) = 4(x + -3) Combine like terms: 4x + -1x = 3x (3x) + -1(x + -5) = 4(x + -3) (3x) + -1(x + -5) = 4(x + -3) Reorder the terms: (3x) + -1(-5 + x) = 4(x + -3) (3x) + (-5 * -1 + x * -1) = 4(x + -3) (3x) + (5 + -1x) = 4(x + -3) Reorder the terms: 5 + (3x) + -1x = 4(x + -3) Combine like terms: (3x) + -1x = 2x 5 + 2x = 4(x + -3) Reorder the terms: 5 + 2x = 4(-3 + x) 5 + 2x = (-3 * 4 + x * 4) 5 + 2x = (-12 + 4x) Solving 5 + 2x = -12 + 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. 5 + 2x + -4x = -12 + 4x + -4x Combine like terms: 2x + -4x = -2x 5 + -2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -2x = -12 + 0 5 + -2x = -12 Add '-5' to each side of the equation. 5 + -5 + -2x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -12 + -5 -2x = -12 + -5 Combine like terms: -12 + -5 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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