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Simplifying -2(2x + -3) + 3(2x + -1) = 2(x + -2x + -2) Reorder the terms: -2(-3 + 2x) + 3(2x + -1) = 2(x + -2x + -2) (-3 * -2 + 2x * -2) + 3(2x + -1) = 2(x + -2x + -2) (6 + -4x) + 3(2x + -1) = 2(x + -2x + -2) Reorder the terms: 6 + -4x + 3(-1 + 2x) = 2(x + -2x + -2) 6 + -4x + (-1 * 3 + 2x * 3) = 2(x + -2x + -2) 6 + -4x + (-3 + 6x) = 2(x + -2x + -2) Reorder the terms: 6 + -3 + -4x + 6x = 2(x + -2x + -2) Combine like terms: 6 + -3 = 3 3 + -4x + 6x = 2(x + -2x + -2) Combine like terms: -4x + 6x = 2x 3 + 2x = 2(x + -2x + -2) Reorder the terms: 3 + 2x = 2(-2 + x + -2x) Combine like terms: x + -2x = -1x 3 + 2x = 2(-2 + -1x) 3 + 2x = (-2 * 2 + -1x * 2) 3 + 2x = (-4 + -2x) Solving 3 + 2x = -4 + -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. 3 + 2x + 2x = -4 + -2x + 2x Combine like terms: 2x + 2x = 4x 3 + 4x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 4x = -4 + 0 3 + 4x = -4 Add '-3' to each side of the equation. 3 + -3 + 4x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = -4 + -3 4x = -4 + -3 Combine like terms: -4 + -3 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75
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