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Simplifying 2(x + 4) + -3 = 3(x + 3) + 7 Reorder the terms: 2(4 + x) + -3 = 3(x + 3) + 7 (4 * 2 + x * 2) + -3 = 3(x + 3) + 7 (8 + 2x) + -3 = 3(x + 3) + 7 Reorder the terms: 8 + -3 + 2x = 3(x + 3) + 7 Combine like terms: 8 + -3 = 5 5 + 2x = 3(x + 3) + 7 Reorder the terms: 5 + 2x = 3(3 + x) + 7 5 + 2x = (3 * 3 + x * 3) + 7 5 + 2x = (9 + 3x) + 7 Reorder the terms: 5 + 2x = 9 + 7 + 3x Combine like terms: 9 + 7 = 16 5 + 2x = 16 + 3x Solving 5 + 2x = 16 + 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 = 16 + 3x + -3x Combine like terms: 2x + -3x = -1x 5 + -1x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -1x = 16 + 0 5 + -1x = 16 Add '-5' to each side of the equation. 5 + -5 + -1x = 16 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 16 + -5 -1x = 16 + -5 Combine like terms: 16 + -5 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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