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Simplifying 3(x + 3) + 6 = 4(x + 2) + 7 Reorder the terms: 3(3 + x) + 6 = 4(x + 2) + 7 (3 * 3 + x * 3) + 6 = 4(x + 2) + 7 (9 + 3x) + 6 = 4(x + 2) + 7 Reorder the terms: 9 + 6 + 3x = 4(x + 2) + 7 Combine like terms: 9 + 6 = 15 15 + 3x = 4(x + 2) + 7 Reorder the terms: 15 + 3x = 4(2 + x) + 7 15 + 3x = (2 * 4 + x * 4) + 7 15 + 3x = (8 + 4x) + 7 Reorder the terms: 15 + 3x = 8 + 7 + 4x Combine like terms: 8 + 7 = 15 15 + 3x = 15 + 4x Add '-15' to each side of the equation. 15 + -15 + 3x = 15 + -15 + 4x Combine like terms: 15 + -15 = 0 0 + 3x = 15 + -15 + 4x 3x = 15 + -15 + 4x Combine like terms: 15 + -15 = 0 3x = 0 + 4x 3x = 4x Solving 3x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3x + -4x = 4x + -4x Combine like terms: 3x + -4x = -1x -1x = 4x + -4x Combine like terms: 4x + -4x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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