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Simplifying 8x + -1(10 + -4x) = 8 + 5(3x + -3) 8x + (10 * -1 + -4x * -1) = 8 + 5(3x + -3) 8x + (-10 + 4x) = 8 + 5(3x + -3) Reorder the terms: -10 + 8x + 4x = 8 + 5(3x + -3) Combine like terms: 8x + 4x = 12x -10 + 12x = 8 + 5(3x + -3) Reorder the terms: -10 + 12x = 8 + 5(-3 + 3x) -10 + 12x = 8 + (-3 * 5 + 3x * 5) -10 + 12x = 8 + (-15 + 15x) Combine like terms: 8 + -15 = -7 -10 + 12x = -7 + 15x Solving -10 + 12x = -7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -10 + 12x + -15x = -7 + 15x + -15x Combine like terms: 12x + -15x = -3x -10 + -3x = -7 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + -3x = -7 + 0 -10 + -3x = -7 Add '10' to each side of the equation. -10 + 10 + -3x = -7 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -7 + 10 -3x = -7 + 10 Combine like terms: -7 + 10 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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