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Simplifying 5(x + -4) = 3 + (x + -7) Reorder the terms: 5(-4 + x) = 3 + (x + -7) (-4 * 5 + x * 5) = 3 + (x + -7) (-20 + 5x) = 3 + (x + -7) Reorder the terms: -20 + 5x = 3 + (-7 + x) Remove parenthesis around (-7 + x) -20 + 5x = 3 + -7 + x Combine like terms: 3 + -7 = -4 -20 + 5x = -4 + x Solving -20 + 5x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -20 + 5x + -1x = -4 + x + -1x Combine like terms: 5x + -1x = 4x -20 + 4x = -4 + x + -1x Combine like terms: x + -1x = 0 -20 + 4x = -4 + 0 -20 + 4x = -4 Add '20' to each side of the equation. -20 + 20 + 4x = -4 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -4 + 20 4x = -4 + 20 Combine like terms: -4 + 20 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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