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Simplifying 3x + 2(x + 7) + -5 = 4(x + 3) + -3(x + 1) Reorder the terms: 3x + 2(7 + x) + -5 = 4(x + 3) + -3(x + 1) 3x + (7 * 2 + x * 2) + -5 = 4(x + 3) + -3(x + 1) 3x + (14 + 2x) + -5 = 4(x + 3) + -3(x + 1) Reorder the terms: 14 + -5 + 3x + 2x = 4(x + 3) + -3(x + 1) Combine like terms: 14 + -5 = 9 9 + 3x + 2x = 4(x + 3) + -3(x + 1) Combine like terms: 3x + 2x = 5x 9 + 5x = 4(x + 3) + -3(x + 1) Reorder the terms: 9 + 5x = 4(3 + x) + -3(x + 1) 9 + 5x = (3 * 4 + x * 4) + -3(x + 1) 9 + 5x = (12 + 4x) + -3(x + 1) Reorder the terms: 9 + 5x = 12 + 4x + -3(1 + x) 9 + 5x = 12 + 4x + (1 * -3 + x * -3) 9 + 5x = 12 + 4x + (-3 + -3x) Reorder the terms: 9 + 5x = 12 + -3 + 4x + -3x Combine like terms: 12 + -3 = 9 9 + 5x = 9 + 4x + -3x Combine like terms: 4x + -3x = 1x 9 + 5x = 9 + 1x Add '-9' to each side of the equation. 9 + -9 + 5x = 9 + -9 + 1x Combine like terms: 9 + -9 = 0 0 + 5x = 9 + -9 + 1x 5x = 9 + -9 + 1x Combine like terms: 9 + -9 = 0 5x = 0 + 1x 5x = 1x Solving 5x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5x + -1x = 1x + -1x Combine like terms: 5x + -1x = 4x 4x = 1x + -1x Combine like terms: 1x + -1x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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