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Simplifying 5 = 4(x + -3) + -1(x + -5) Reorder the terms: 5 = 4(-3 + x) + -1(x + -5) 5 = (-3 * 4 + x * 4) + -1(x + -5) 5 = (-12 + 4x) + -1(x + -5) Reorder the terms: 5 = -12 + 4x + -1(-5 + x) 5 = -12 + 4x + (-5 * -1 + x * -1) 5 = -12 + 4x + (5 + -1x) Reorder the terms: 5 = -12 + 5 + 4x + -1x Combine like terms: -12 + 5 = -7 5 = -7 + 4x + -1x Combine like terms: 4x + -1x = 3x 5 = -7 + 3x Solving 5 = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + -3x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -3x = -7 + 0 5 + -3x = -7 Add '-5' to each side of the equation. 5 + -5 + -3x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -7 + -5 -3x = -7 + -5 Combine like terms: -7 + -5 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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