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Simplifying 10x + -1(2x + 8) = -3(15 + -4x) Reorder the terms: 10x + -1(8 + 2x) = -3(15 + -4x) 10x + (8 * -1 + 2x * -1) = -3(15 + -4x) 10x + (-8 + -2x) = -3(15 + -4x) Reorder the terms: -8 + 10x + -2x = -3(15 + -4x) Combine like terms: 10x + -2x = 8x -8 + 8x = -3(15 + -4x) -8 + 8x = (15 * -3 + -4x * -3) -8 + 8x = (-45 + 12x) Solving -8 + 8x = -45 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 8x + -12x = -45 + 12x + -12x Combine like terms: 8x + -12x = -4x -8 + -4x = -45 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -4x = -45 + 0 -8 + -4x = -45 Add '8' to each side of the equation. -8 + 8 + -4x = -45 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -45 + 8 -4x = -45 + 8 Combine like terms: -45 + 8 = -37 -4x = -37 Divide each side by '-4'. x = 9.25 Simplifying x = 9.25
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