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Simplifying 1 + -5x = 8x + -3(2x + -5) Reorder the terms: 1 + -5x = 8x + -3(-5 + 2x) 1 + -5x = 8x + (-5 * -3 + 2x * -3) 1 + -5x = 8x + (15 + -6x) Reorder the terms: 1 + -5x = 15 + 8x + -6x Combine like terms: 8x + -6x = 2x 1 + -5x = 15 + 2x Solving 1 + -5x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + -5x + -2x = 15 + 2x + -2x Combine like terms: -5x + -2x = -7x 1 + -7x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -7x = 15 + 0 1 + -7x = 15 Add '-1' to each side of the equation. 1 + -1 + -7x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 15 + -1 -7x = 15 + -1 Combine like terms: 15 + -1 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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