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Simplifying 5(1 + x) = 3(2x + -1) + 7 (1 * 5 + x * 5) = 3(2x + -1) + 7 (5 + 5x) = 3(2x + -1) + 7 Reorder the terms: 5 + 5x = 3(-1 + 2x) + 7 5 + 5x = (-1 * 3 + 2x * 3) + 7 5 + 5x = (-3 + 6x) + 7 Reorder the terms: 5 + 5x = -3 + 7 + 6x Combine like terms: -3 + 7 = 4 5 + 5x = 4 + 6x Solving 5 + 5x = 4 + 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 = 4 + 6x + -6x Combine like terms: 5x + -6x = -1x 5 + -1x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -1x = 4 + 0 5 + -1x = 4 Add '-5' to each side of the equation. 5 + -5 + -1x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 4 + -5 -1x = 4 + -5 Combine like terms: 4 + -5 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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