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Simplifying 4(x + 1) = 5(x + 2) + -7 Reorder the terms: 4(1 + x) = 5(x + 2) + -7 (1 * 4 + x * 4) = 5(x + 2) + -7 (4 + 4x) = 5(x + 2) + -7 Reorder the terms: 4 + 4x = 5(2 + x) + -7 4 + 4x = (2 * 5 + x * 5) + -7 4 + 4x = (10 + 5x) + -7 Reorder the terms: 4 + 4x = 10 + -7 + 5x Combine like terms: 10 + -7 = 3 4 + 4x = 3 + 5x Solving 4 + 4x = 3 + 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. 4 + 4x + -5x = 3 + 5x + -5x Combine like terms: 4x + -5x = -1x 4 + -1x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -1x = 3 + 0 4 + -1x = 3 Add '-4' to each side of the equation. 4 + -4 + -1x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 3 + -4 -1x = 3 + -4 Combine like terms: 3 + -4 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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