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Simplifying 10 = 4(x + -4) + -1(x + -5) Reorder the terms: 10 = 4(-4 + x) + -1(x + -5) 10 = (-4 * 4 + x * 4) + -1(x + -5) 10 = (-16 + 4x) + -1(x + -5) Reorder the terms: 10 = -16 + 4x + -1(-5 + x) 10 = -16 + 4x + (-5 * -1 + x * -1) 10 = -16 + 4x + (5 + -1x) Reorder the terms: 10 = -16 + 5 + 4x + -1x Combine like terms: -16 + 5 = -11 10 = -11 + 4x + -1x Combine like terms: 4x + -1x = 3x 10 = -11 + 3x Solving 10 = -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. 10 + -3x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -3x = -11 + 0 10 + -3x = -11 Add '-10' to each side of the equation. 10 + -10 + -3x = -11 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -11 + -10 -3x = -11 + -10 Combine like terms: -11 + -10 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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