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Simplifying 2(2x + -1) + -3(x + -2) = 6 + 4(3 + -2x) Reorder the terms: 2(-1 + 2x) + -3(x + -2) = 6 + 4(3 + -2x) (-1 * 2 + 2x * 2) + -3(x + -2) = 6 + 4(3 + -2x) (-2 + 4x) + -3(x + -2) = 6 + 4(3 + -2x) Reorder the terms: -2 + 4x + -3(-2 + x) = 6 + 4(3 + -2x) -2 + 4x + (-2 * -3 + x * -3) = 6 + 4(3 + -2x) -2 + 4x + (6 + -3x) = 6 + 4(3 + -2x) Reorder the terms: -2 + 6 + 4x + -3x = 6 + 4(3 + -2x) Combine like terms: -2 + 6 = 4 4 + 4x + -3x = 6 + 4(3 + -2x) Combine like terms: 4x + -3x = 1x 4 + 1x = 6 + 4(3 + -2x) 4 + 1x = 6 + (3 * 4 + -2x * 4) 4 + 1x = 6 + (12 + -8x) Combine like terms: 6 + 12 = 18 4 + 1x = 18 + -8x Solving 4 + 1x = 18 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 4 + 1x + 8x = 18 + -8x + 8x Combine like terms: 1x + 8x = 9x 4 + 9x = 18 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 9x = 18 + 0 4 + 9x = 18 Add '-4' to each side of the equation. 4 + -4 + 9x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 18 + -4 9x = 18 + -4 Combine like terms: 18 + -4 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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