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Simplifying 2(x + 1) + x = 5(2x + 3) + -2(x + 3) Reorder the terms: 2(1 + x) + x = 5(2x + 3) + -2(x + 3) (1 * 2 + x * 2) + x = 5(2x + 3) + -2(x + 3) (2 + 2x) + x = 5(2x + 3) + -2(x + 3) Combine like terms: 2x + x = 3x 2 + 3x = 5(2x + 3) + -2(x + 3) Reorder the terms: 2 + 3x = 5(3 + 2x) + -2(x + 3) 2 + 3x = (3 * 5 + 2x * 5) + -2(x + 3) 2 + 3x = (15 + 10x) + -2(x + 3) Reorder the terms: 2 + 3x = 15 + 10x + -2(3 + x) 2 + 3x = 15 + 10x + (3 * -2 + x * -2) 2 + 3x = 15 + 10x + (-6 + -2x) Reorder the terms: 2 + 3x = 15 + -6 + 10x + -2x Combine like terms: 15 + -6 = 9 2 + 3x = 9 + 10x + -2x Combine like terms: 10x + -2x = 8x 2 + 3x = 9 + 8x Solving 2 + 3x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 3x + -8x = 9 + 8x + -8x Combine like terms: 3x + -8x = -5x 2 + -5x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -5x = 9 + 0 2 + -5x = 9 Add '-2' to each side of the equation. 2 + -2 + -5x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 9 + -2 -5x = 9 + -2 Combine like terms: 9 + -2 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4
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