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Simplifying 5x + -2(3x + -4) = 25 + -3(5x + 1) Reorder the terms: 5x + -2(-4 + 3x) = 25 + -3(5x + 1) 5x + (-4 * -2 + 3x * -2) = 25 + -3(5x + 1) 5x + (8 + -6x) = 25 + -3(5x + 1) Reorder the terms: 8 + 5x + -6x = 25 + -3(5x + 1) Combine like terms: 5x + -6x = -1x 8 + -1x = 25 + -3(5x + 1) Reorder the terms: 8 + -1x = 25 + -3(1 + 5x) 8 + -1x = 25 + (1 * -3 + 5x * -3) 8 + -1x = 25 + (-3 + -15x) Combine like terms: 25 + -3 = 22 8 + -1x = 22 + -15x Solving 8 + -1x = 22 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 8 + -1x + 15x = 22 + -15x + 15x Combine like terms: -1x + 15x = 14x 8 + 14x = 22 + -15x + 15x Combine like terms: -15x + 15x = 0 8 + 14x = 22 + 0 8 + 14x = 22 Add '-8' to each side of the equation. 8 + -8 + 14x = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 22 + -8 14x = 22 + -8 Combine like terms: 22 + -8 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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