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Simplifying 1 + -2(3x + -4) = 5x + -2(3x + -5) Reorder the terms: 1 + -2(-4 + 3x) = 5x + -2(3x + -5) 1 + (-4 * -2 + 3x * -2) = 5x + -2(3x + -5) 1 + (8 + -6x) = 5x + -2(3x + -5) Combine like terms: 1 + 8 = 9 9 + -6x = 5x + -2(3x + -5) Reorder the terms: 9 + -6x = 5x + -2(-5 + 3x) 9 + -6x = 5x + (-5 * -2 + 3x * -2) 9 + -6x = 5x + (10 + -6x) Reorder the terms: 9 + -6x = 10 + 5x + -6x Combine like terms: 5x + -6x = -1x 9 + -6x = 10 + -1x Solving 9 + -6x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + -6x + x = 10 + -1x + x Combine like terms: -6x + x = -5x 9 + -5x = 10 + -1x + x Combine like terms: -1x + x = 0 9 + -5x = 10 + 0 9 + -5x = 10 Add '-9' to each side of the equation. 9 + -9 + -5x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 10 + -9 -5x = 10 + -9 Combine like terms: 10 + -9 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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