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Simplifying 2x + 5 = 3(x + 5) + -7 Reorder the terms: 5 + 2x = 3(x + 5) + -7 Reorder the terms: 5 + 2x = 3(5 + x) + -7 5 + 2x = (5 * 3 + x * 3) + -7 5 + 2x = (15 + 3x) + -7 Reorder the terms: 5 + 2x = 15 + -7 + 3x Combine like terms: 15 + -7 = 8 5 + 2x = 8 + 3x Solving 5 + 2x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 2x + -3x = 8 + 3x + -3x Combine like terms: 2x + -3x = -1x 5 + -1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -1x = 8 + 0 5 + -1x = 8 Add '-5' to each side of the equation. 5 + -5 + -1x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 8 + -5 -1x = 8 + -5 Combine like terms: 8 + -5 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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