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Simplifying 3 = 5(x + -4) + -1(x + -7) Reorder the terms: 3 = 5(-4 + x) + -1(x + -7) 3 = (-4 * 5 + x * 5) + -1(x + -7) 3 = (-20 + 5x) + -1(x + -7) Reorder the terms: 3 = -20 + 5x + -1(-7 + x) 3 = -20 + 5x + (-7 * -1 + x * -1) 3 = -20 + 5x + (7 + -1x) Reorder the terms: 3 = -20 + 7 + 5x + -1x Combine like terms: -20 + 7 = -13 3 = -13 + 5x + -1x Combine like terms: 5x + -1x = 4x 3 = -13 + 4x Solving 3 = -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. 3 + -4x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -4x = -13 + 0 3 + -4x = -13 Add '-3' to each side of the equation. 3 + -3 + -4x = -13 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -13 + -3 -4x = -13 + -3 Combine like terms: -13 + -3 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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