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Simplifying x + -2(x + -3) = 2(x + -2) + 3x Reorder the terms: x + -2(-3 + x) = 2(x + -2) + 3x x + (-3 * -2 + x * -2) = 2(x + -2) + 3x x + (6 + -2x) = 2(x + -2) + 3x Reorder the terms: 6 + x + -2x = 2(x + -2) + 3x Combine like terms: x + -2x = -1x 6 + -1x = 2(x + -2) + 3x Reorder the terms: 6 + -1x = 2(-2 + x) + 3x 6 + -1x = (-2 * 2 + x * 2) + 3x 6 + -1x = (-4 + 2x) + 3x Combine like terms: 2x + 3x = 5x 6 + -1x = -4 + 5x Solving 6 + -1x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -1x + -5x = -4 + 5x + -5x Combine like terms: -1x + -5x = -6x 6 + -6x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -6x = -4 + 0 6 + -6x = -4 Add '-6' to each side of the equation. 6 + -6 + -6x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -4 + -6 -6x = -4 + -6 Combine like terms: -4 + -6 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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