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Simplifying 3(2x + -1) + -2(x + -2) = -4(x + 3) Reorder the terms: 3(-1 + 2x) + -2(x + -2) = -4(x + 3) (-1 * 3 + 2x * 3) + -2(x + -2) = -4(x + 3) (-3 + 6x) + -2(x + -2) = -4(x + 3) Reorder the terms: -3 + 6x + -2(-2 + x) = -4(x + 3) -3 + 6x + (-2 * -2 + x * -2) = -4(x + 3) -3 + 6x + (4 + -2x) = -4(x + 3) Reorder the terms: -3 + 4 + 6x + -2x = -4(x + 3) Combine like terms: -3 + 4 = 1 1 + 6x + -2x = -4(x + 3) Combine like terms: 6x + -2x = 4x 1 + 4x = -4(x + 3) Reorder the terms: 1 + 4x = -4(3 + x) 1 + 4x = (3 * -4 + x * -4) 1 + 4x = (-12 + -4x) Solving 1 + 4x = -12 + -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. 1 + 4x + 4x = -12 + -4x + 4x Combine like terms: 4x + 4x = 8x 1 + 8x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 8x = -12 + 0 1 + 8x = -12 Add '-1' to each side of the equation. 1 + -1 + 8x = -12 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = -12 + -1 8x = -12 + -1 Combine like terms: -12 + -1 = -13 8x = -13 Divide each side by '8'. x = -1.625 Simplifying x = -1.625
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