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Simplifying -2(-3x + 2) + -3(1x + -2) = 4(1x + -2) Reorder the terms: -2(2 + -3x) + -3(1x + -2) = 4(1x + -2) (2 * -2 + -3x * -2) + -3(1x + -2) = 4(1x + -2) (-4 + 6x) + -3(1x + -2) = 4(1x + -2) Reorder the terms: -4 + 6x + -3(-2 + 1x) = 4(1x + -2) -4 + 6x + (-2 * -3 + 1x * -3) = 4(1x + -2) -4 + 6x + (6 + -3x) = 4(1x + -2) Reorder the terms: -4 + 6 + 6x + -3x = 4(1x + -2) Combine like terms: -4 + 6 = 2 2 + 6x + -3x = 4(1x + -2) Combine like terms: 6x + -3x = 3x 2 + 3x = 4(1x + -2) Reorder the terms: 2 + 3x = 4(-2 + 1x) 2 + 3x = (-2 * 4 + 1x * 4) 2 + 3x = (-8 + 4x) Solving 2 + 3x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 3x + -4x = -8 + 4x + -4x Combine like terms: 3x + -4x = -1x 2 + -1x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -1x = -8 + 0 2 + -1x = -8 Add '-2' to each side of the equation. 2 + -2 + -1x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -8 + -2 -1x = -8 + -2 Combine like terms: -8 + -2 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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