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Simplifying 2(x + 3) = -3(2x + -4) + 4x Reorder the terms: 2(3 + x) = -3(2x + -4) + 4x (3 * 2 + x * 2) = -3(2x + -4) + 4x (6 + 2x) = -3(2x + -4) + 4x Reorder the terms: 6 + 2x = -3(-4 + 2x) + 4x 6 + 2x = (-4 * -3 + 2x * -3) + 4x 6 + 2x = (12 + -6x) + 4x Combine like terms: -6x + 4x = -2x 6 + 2x = 12 + -2x Solving 6 + 2x = 12 + -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. 6 + 2x + 2x = 12 + -2x + 2x Combine like terms: 2x + 2x = 4x 6 + 4x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 4x = 12 + 0 6 + 4x = 12 Add '-6' to each side of the equation. 6 + -6 + 4x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 12 + -6 4x = 12 + -6 Combine like terms: 12 + -6 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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