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Simplifying 8x + -1 = 2x + 5(6x + -5) Reorder the terms: -1 + 8x = 2x + 5(6x + -5) Reorder the terms: -1 + 8x = 2x + 5(-5 + 6x) -1 + 8x = 2x + (-5 * 5 + 6x * 5) -1 + 8x = 2x + (-25 + 30x) Reorder the terms: -1 + 8x = -25 + 2x + 30x Combine like terms: 2x + 30x = 32x -1 + 8x = -25 + 32x Solving -1 + 8x = -25 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -1 + 8x + -32x = -25 + 32x + -32x Combine like terms: 8x + -32x = -24x -1 + -24x = -25 + 32x + -32x Combine like terms: 32x + -32x = 0 -1 + -24x = -25 + 0 -1 + -24x = -25 Add '1' to each side of the equation. -1 + 1 + -24x = -25 + 1 Combine like terms: -1 + 1 = 0 0 + -24x = -25 + 1 -24x = -25 + 1 Combine like terms: -25 + 1 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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