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Simplifying 5(-5x + 8) + -3(x + -5) = 1 + -7x + 6x Reorder the terms: 5(8 + -5x) + -3(x + -5) = 1 + -7x + 6x (8 * 5 + -5x * 5) + -3(x + -5) = 1 + -7x + 6x (40 + -25x) + -3(x + -5) = 1 + -7x + 6x Reorder the terms: 40 + -25x + -3(-5 + x) = 1 + -7x + 6x 40 + -25x + (-5 * -3 + x * -3) = 1 + -7x + 6x 40 + -25x + (15 + -3x) = 1 + -7x + 6x Reorder the terms: 40 + 15 + -25x + -3x = 1 + -7x + 6x Combine like terms: 40 + 15 = 55 55 + -25x + -3x = 1 + -7x + 6x Combine like terms: -25x + -3x = -28x 55 + -28x = 1 + -7x + 6x Combine like terms: -7x + 6x = -1x 55 + -28x = 1 + -1x Solving 55 + -28x = 1 + -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. 55 + -28x + x = 1 + -1x + x Combine like terms: -28x + x = -27x 55 + -27x = 1 + -1x + x Combine like terms: -1x + x = 0 55 + -27x = 1 + 0 55 + -27x = 1 Add '-55' to each side of the equation. 55 + -55 + -27x = 1 + -55 Combine like terms: 55 + -55 = 0 0 + -27x = 1 + -55 -27x = 1 + -55 Combine like terms: 1 + -55 = -54 -27x = -54 Divide each side by '-27'. x = 2 Simplifying x = 2
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