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Simplifying 5 = 4(x + -2) + -1(x + -7) Reorder the terms: 5 = 4(-2 + x) + -1(x + -7) 5 = (-2 * 4 + x * 4) + -1(x + -7) 5 = (-8 + 4x) + -1(x + -7) Reorder the terms: 5 = -8 + 4x + -1(-7 + x) 5 = -8 + 4x + (-7 * -1 + x * -1) 5 = -8 + 4x + (7 + -1x) Reorder the terms: 5 = -8 + 7 + 4x + -1x Combine like terms: -8 + 7 = -1 5 = -1 + 4x + -1x Combine like terms: 4x + -1x = 3x 5 = -1 + 3x Solving 5 = -1 + 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 = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -3x = -1 + 0 5 + -3x = -1 Add '-5' to each side of the equation. 5 + -5 + -3x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -1 + -5 -3x = -1 + -5 Combine like terms: -1 + -5 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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