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Simplifying 10 + -4(8x + 2) = 2(1 + -15x) Reorder the terms: 10 + -4(2 + 8x) = 2(1 + -15x) 10 + (2 * -4 + 8x * -4) = 2(1 + -15x) 10 + (-8 + -32x) = 2(1 + -15x) Combine like terms: 10 + -8 = 2 2 + -32x = 2(1 + -15x) 2 + -32x = (1 * 2 + -15x * 2) 2 + -32x = (2 + -30x) Add '-2' to each side of the equation. 2 + -2 + -32x = 2 + -2 + -30x Combine like terms: 2 + -2 = 0 0 + -32x = 2 + -2 + -30x -32x = 2 + -2 + -30x Combine like terms: 2 + -2 = 0 -32x = 0 + -30x -32x = -30x Solving -32x = -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -32x + 30x = -30x + 30x Combine like terms: -32x + 30x = -2x -2x = -30x + 30x Combine like terms: -30x + 30x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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