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Simplifying 2(3x + 4) + -6x = 5 + -2x Reorder the terms: 2(4 + 3x) + -6x = 5 + -2x (4 * 2 + 3x * 2) + -6x = 5 + -2x (8 + 6x) + -6x = 5 + -2x Combine like terms: 6x + -6x = 0 8 + 0 = 5 + -2x 8 = 5 + -2x Solving 8 = 5 + -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. 8 + 2x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 2x = 5 + 0 8 + 2x = 5 Add '-8' to each side of the equation. 8 + -8 + 2x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 5 + -8 2x = 5 + -8 Combine like terms: 5 + -8 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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