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Simplifying 2(3x + 4) = 6 + -1(2x + 5) Reorder the terms: 2(4 + 3x) = 6 + -1(2x + 5) (4 * 2 + 3x * 2) = 6 + -1(2x + 5) (8 + 6x) = 6 + -1(2x + 5) Reorder the terms: 8 + 6x = 6 + -1(5 + 2x) 8 + 6x = 6 + (5 * -1 + 2x * -1) 8 + 6x = 6 + (-5 + -2x) Combine like terms: 6 + -5 = 1 8 + 6x = 1 + -2x Solving 8 + 6x = 1 + -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 + 6x + 2x = 1 + -2x + 2x Combine like terms: 6x + 2x = 8x 8 + 8x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 8x = 1 + 0 8 + 8x = 1 Add '-8' to each side of the equation. 8 + -8 + 8x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 1 + -8 8x = 1 + -8 Combine like terms: 1 + -8 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875
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