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Simplifying 2(3x + 4) = 5(x + -5) + 1 Reorder the terms: 2(4 + 3x) = 5(x + -5) + 1 (4 * 2 + 3x * 2) = 5(x + -5) + 1 (8 + 6x) = 5(x + -5) + 1 Reorder the terms: 8 + 6x = 5(-5 + x) + 1 8 + 6x = (-5 * 5 + x * 5) + 1 8 + 6x = (-25 + 5x) + 1 Reorder the terms: 8 + 6x = -25 + 1 + 5x Combine like terms: -25 + 1 = -24 8 + 6x = -24 + 5x Solving 8 + 6x = -24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 6x + -5x = -24 + 5x + -5x Combine like terms: 6x + -5x = 1x 8 + 1x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 1x = -24 + 0 8 + 1x = -24 Add '-8' to each side of the equation. 8 + -8 + 1x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -24 + -8 1x = -24 + -8 Combine like terms: -24 + -8 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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