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Simplifying 4(x + 2) + -6x = 2(x + 3) + 2x Reorder the terms: 4(2 + x) + -6x = 2(x + 3) + 2x (2 * 4 + x * 4) + -6x = 2(x + 3) + 2x (8 + 4x) + -6x = 2(x + 3) + 2x Combine like terms: 4x + -6x = -2x 8 + -2x = 2(x + 3) + 2x Reorder the terms: 8 + -2x = 2(3 + x) + 2x 8 + -2x = (3 * 2 + x * 2) + 2x 8 + -2x = (6 + 2x) + 2x Combine like terms: 2x + 2x = 4x 8 + -2x = 6 + 4x Solving 8 + -2x = 6 + 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. 8 + -2x + -4x = 6 + 4x + -4x Combine like terms: -2x + -4x = -6x 8 + -6x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -6x = 6 + 0 8 + -6x = 6 Add '-8' to each side of the equation. 8 + -8 + -6x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 6 + -8 -6x = 6 + -8 Combine like terms: 6 + -8 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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