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Simplifying 2(x + 3) + -3x = 3(2x + -4) Reorder the terms: 2(3 + x) + -3x = 3(2x + -4) (3 * 2 + x * 2) + -3x = 3(2x + -4) (6 + 2x) + -3x = 3(2x + -4) Combine like terms: 2x + -3x = -1x 6 + -1x = 3(2x + -4) Reorder the terms: 6 + -1x = 3(-4 + 2x) 6 + -1x = (-4 * 3 + 2x * 3) 6 + -1x = (-12 + 6x) Solving 6 + -1x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -1x + -6x = -12 + 6x + -6x Combine like terms: -1x + -6x = -7x 6 + -7x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -7x = -12 + 0 6 + -7x = -12 Add '-6' to each side of the equation. 6 + -6 + -7x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -12 + -6 -7x = -12 + -6 Combine like terms: -12 + -6 = -18 -7x = -18 Divide each side by '-7'. x = 2.571428571 Simplifying x = 2.571428571
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