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Simplifying 5(4 + x) = 4(x + -7) (4 * 5 + x * 5) = 4(x + -7) (20 + 5x) = 4(x + -7) Reorder the terms: 20 + 5x = 4(-7 + x) 20 + 5x = (-7 * 4 + x * 4) 20 + 5x = (-28 + 4x) Solving 20 + 5x = -28 + 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. 20 + 5x + -4x = -28 + 4x + -4x Combine like terms: 5x + -4x = 1x 20 + 1x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 1x = -28 + 0 20 + 1x = -28 Add '-20' to each side of the equation. 20 + -20 + 1x = -28 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = -28 + -20 1x = -28 + -20 Combine like terms: -28 + -20 = -48 1x = -48 Divide each side by '1'. x = -48 Simplifying x = -48
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