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Simplifying 5(x + -4(1 + -2x) + -6) + -3(x + 10) = 40x + -12 5(x + (1 * -4 + -2x * -4) + -6) + -3(x + 10) = 40x + -12 5(x + (-4 + 8x) + -6) + -3(x + 10) = 40x + -12 Reorder the terms: 5(-4 + -6 + x + 8x) + -3(x + 10) = 40x + -12 Combine like terms: -4 + -6 = -10 5(-10 + x + 8x) + -3(x + 10) = 40x + -12 Combine like terms: x + 8x = 9x 5(-10 + 9x) + -3(x + 10) = 40x + -12 (-10 * 5 + 9x * 5) + -3(x + 10) = 40x + -12 (-50 + 45x) + -3(x + 10) = 40x + -12 Reorder the terms: -50 + 45x + -3(10 + x) = 40x + -12 -50 + 45x + (10 * -3 + x * -3) = 40x + -12 -50 + 45x + (-30 + -3x) = 40x + -12 Reorder the terms: -50 + -30 + 45x + -3x = 40x + -12 Combine like terms: -50 + -30 = -80 -80 + 45x + -3x = 40x + -12 Combine like terms: 45x + -3x = 42x -80 + 42x = 40x + -12 Reorder the terms: -80 + 42x = -12 + 40x Solving -80 + 42x = -12 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -80 + 42x + -40x = -12 + 40x + -40x Combine like terms: 42x + -40x = 2x -80 + 2x = -12 + 40x + -40x Combine like terms: 40x + -40x = 0 -80 + 2x = -12 + 0 -80 + 2x = -12 Add '80' to each side of the equation. -80 + 80 + 2x = -12 + 80 Combine like terms: -80 + 80 = 0 0 + 2x = -12 + 80 2x = -12 + 80 Combine like terms: -12 + 80 = 68 2x = 68 Divide each side by '2'. x = 34 Simplifying x = 34
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