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Simplifying 2x + 4 = 3(x + 5) + 2 Reorder the terms: 4 + 2x = 3(x + 5) + 2 Reorder the terms: 4 + 2x = 3(5 + x) + 2 4 + 2x = (5 * 3 + x * 3) + 2 4 + 2x = (15 + 3x) + 2 Reorder the terms: 4 + 2x = 15 + 2 + 3x Combine like terms: 15 + 2 = 17 4 + 2x = 17 + 3x Solving 4 + 2x = 17 + 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. 4 + 2x + -3x = 17 + 3x + -3x Combine like terms: 2x + -3x = -1x 4 + -1x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -1x = 17 + 0 4 + -1x = 17 Add '-4' to each side of the equation. 4 + -4 + -1x = 17 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 17 + -4 -1x = 17 + -4 Combine like terms: 17 + -4 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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