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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 = -12x -2 + 3x = 9 + -12x Solving -2 + 3x = 9 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -2 + 3x + 12x = 9 + -12x + 12x Combine like terms: 3x + 12x = 15x -2 + 15x = 9 + -12x + 12x Combine like terms: -12x + 12x = 0 -2 + 15x = 9 + 0 -2 + 15x = 9 Add '2' to each side of the equation. -2 + 2 + 15x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 15x = 9 + 2 15x = 9 + 2 Combine like terms: 9 + 2 = 11 15x = 11 Divide each side by '15'. x = 0.7333333333 Simplifying x = 0.7333333333
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