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