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Simplifying 8x + -3 = 6 + -1(-10x + 5) Reorder the terms: -3 + 8x = 6 + -1(-10x + 5) Reorder the terms: -3 + 8x = 6 + -1(5 + -10x) -3 + 8x = 6 + (5 * -1 + -10x * -1) -3 + 8x = 6 + (-5 + 10x) Combine like terms: 6 + -5 = 1 -3 + 8x = 1 + 10x Solving -3 + 8x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 8x + -10x = 1 + 10x + -10x Combine like terms: 8x + -10x = -2x -3 + -2x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -2x = 1 + 0 -3 + -2x = 1 Add '3' to each side of the equation. -3 + 3 + -2x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 1 + 3 -2x = 1 + 3 Combine like terms: 1 + 3 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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