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Simplifying 5(x + 1) = 3(2x + 2) + -6 Reorder the terms: 5(1 + x) = 3(2x + 2) + -6 (1 * 5 + x * 5) = 3(2x + 2) + -6 (5 + 5x) = 3(2x + 2) + -6 Reorder the terms: 5 + 5x = 3(2 + 2x) + -6 5 + 5x = (2 * 3 + 2x * 3) + -6 5 + 5x = (6 + 6x) + -6 Reorder the terms: 5 + 5x = 6 + -6 + 6x Combine like terms: 6 + -6 = 0 5 + 5x = 0 + 6x 5 + 5x = 6x Solving 5 + 5x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 5x + -6x = 6x + -6x Combine like terms: 5x + -6x = -1x 5 + -1x = 6x + -6x Combine like terms: 6x + -6x = 0 5 + -1x = 0 Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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