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Simplifying 3(x + -2) + 2x = 7 + -1(x + 5) Reorder the terms: 3(-2 + x) + 2x = 7 + -1(x + 5) (-2 * 3 + x * 3) + 2x = 7 + -1(x + 5) (-6 + 3x) + 2x = 7 + -1(x + 5) Combine like terms: 3x + 2x = 5x -6 + 5x = 7 + -1(x + 5) Reorder the terms: -6 + 5x = 7 + -1(5 + x) -6 + 5x = 7 + (5 * -1 + x * -1) -6 + 5x = 7 + (-5 + -1x) Combine like terms: 7 + -5 = 2 -6 + 5x = 2 + -1x Solving -6 + 5x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 5x + x = 2 + -1x + x Combine like terms: 5x + x = 6x -6 + 6x = 2 + -1x + x Combine like terms: -1x + x = 0 -6 + 6x = 2 + 0 -6 + 6x = 2 Add '6' to each side of the equation. -6 + 6 + 6x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 2 + 6 6x = 2 + 6 Combine like terms: 2 + 6 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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