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Simplifying 5(2x + 1) + -1(4x + -2) = 5(x + -5) Reorder the terms: 5(1 + 2x) + -1(4x + -2) = 5(x + -5) (1 * 5 + 2x * 5) + -1(4x + -2) = 5(x + -5) (5 + 10x) + -1(4x + -2) = 5(x + -5) Reorder the terms: 5 + 10x + -1(-2 + 4x) = 5(x + -5) 5 + 10x + (-2 * -1 + 4x * -1) = 5(x + -5) 5 + 10x + (2 + -4x) = 5(x + -5) Reorder the terms: 5 + 2 + 10x + -4x = 5(x + -5) Combine like terms: 5 + 2 = 7 7 + 10x + -4x = 5(x + -5) Combine like terms: 10x + -4x = 6x 7 + 6x = 5(x + -5) Reorder the terms: 7 + 6x = 5(-5 + x) 7 + 6x = (-5 * 5 + x * 5) 7 + 6x = (-25 + 5x) Solving 7 + 6x = -25 + 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. 7 + 6x + -5x = -25 + 5x + -5x Combine like terms: 6x + -5x = 1x 7 + 1x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 1x = -25 + 0 7 + 1x = -25 Add '-7' to each side of the equation. 7 + -7 + 1x = -25 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -25 + -7 1x = -25 + -7 Combine like terms: -25 + -7 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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