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