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Simplifying 1 = 4(x + -4) + -1(x + -5) Reorder the terms: 1 = 4(-4 + x) + -1(x + -5) 1 = (-4 * 4 + x * 4) + -1(x + -5) 1 = (-16 + 4x) + -1(x + -5) Reorder the terms: 1 = -16 + 4x + -1(-5 + x) 1 = -16 + 4x + (-5 * -1 + x * -1) 1 = -16 + 4x + (5 + -1x) Reorder the terms: 1 = -16 + 5 + 4x + -1x Combine like terms: -16 + 5 = -11 1 = -11 + 4x + -1x Combine like terms: 4x + -1x = 3x 1 = -11 + 3x Solving 1 = -11 + 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. 1 + -3x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -3x = -11 + 0 1 + -3x = -11 Add '-1' to each side of the equation. 1 + -1 + -3x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -11 + -1 -3x = -11 + -1 Combine like terms: -11 + -1 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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