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Simplifying (4 + -1x) + -1(x + -5) = 4(x + -3) Remove parenthesis around (4 + -1x) 4 + -1x + -1(x + -5) = 4(x + -3) Reorder the terms: 4 + -1x + -1(-5 + x) = 4(x + -3) 4 + -1x + (-5 * -1 + x * -1) = 4(x + -3) 4 + -1x + (5 + -1x) = 4(x + -3) Reorder the terms: 4 + 5 + -1x + -1x = 4(x + -3) Combine like terms: 4 + 5 = 9 9 + -1x + -1x = 4(x + -3) Combine like terms: -1x + -1x = -2x 9 + -2x = 4(x + -3) Reorder the terms: 9 + -2x = 4(-3 + x) 9 + -2x = (-3 * 4 + x * 4) 9 + -2x = (-12 + 4x) Solving 9 + -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. 9 + -2x + -4x = -12 + 4x + -4x Combine like terms: -2x + -4x = -6x 9 + -6x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -6x = -12 + 0 9 + -6x = -12 Add '-9' to each side of the equation. 9 + -9 + -6x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -12 + -9 -6x = -12 + -9 Combine like terms: -12 + -9 = -21 -6x = -21 Divide each side by '-6'. x = 3.5 Simplifying x = 3.5
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