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Simplifying 4x + 7 = 5(x + -4) Reorder the terms: 7 + 4x = 5(x + -4) Reorder the terms: 7 + 4x = 5(-4 + x) 7 + 4x = (-4 * 5 + x * 5) 7 + 4x = (-20 + 5x) Solving 7 + 4x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 4x + -5x = -20 + 5x + -5x Combine like terms: 4x + -5x = -1x 7 + -1x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -1x = -20 + 0 7 + -1x = -20 Add '-7' to each side of the equation. 7 + -7 + -1x = -20 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -20 + -7 -1x = -20 + -7 Combine like terms: -20 + -7 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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