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Simplifying 7 = 5(x + -4) + -1(x + -7) Reorder the terms: 7 = 5(-4 + x) + -1(x + -7) 7 = (-4 * 5 + x * 5) + -1(x + -7) 7 = (-20 + 5x) + -1(x + -7) Reorder the terms: 7 = -20 + 5x + -1(-7 + x) 7 = -20 + 5x + (-7 * -1 + x * -1) 7 = -20 + 5x + (7 + -1x) Reorder the terms: 7 = -20 + 7 + 5x + -1x Combine like terms: -20 + 7 = -13 7 = -13 + 5x + -1x Combine like terms: 5x + -1x = 4x 7 = -13 + 4x Solving 7 = -13 + 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. 7 + -4x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -4x = -13 + 0 7 + -4x = -13 Add '-7' to each side of the equation. 7 + -7 + -4x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -13 + -7 -4x = -13 + -7 Combine like terms: -13 + -7 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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