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Simplifying -3(x + -8) + -2(2x + -8) = -4(x + -3) + -2 Reorder the terms: -3(-8 + x) + -2(2x + -8) = -4(x + -3) + -2 (-8 * -3 + x * -3) + -2(2x + -8) = -4(x + -3) + -2 (24 + -3x) + -2(2x + -8) = -4(x + -3) + -2 Reorder the terms: 24 + -3x + -2(-8 + 2x) = -4(x + -3) + -2 24 + -3x + (-8 * -2 + 2x * -2) = -4(x + -3) + -2 24 + -3x + (16 + -4x) = -4(x + -3) + -2 Reorder the terms: 24 + 16 + -3x + -4x = -4(x + -3) + -2 Combine like terms: 24 + 16 = 40 40 + -3x + -4x = -4(x + -3) + -2 Combine like terms: -3x + -4x = -7x 40 + -7x = -4(x + -3) + -2 Reorder the terms: 40 + -7x = -4(-3 + x) + -2 40 + -7x = (-3 * -4 + x * -4) + -2 40 + -7x = (12 + -4x) + -2 Reorder the terms: 40 + -7x = 12 + -2 + -4x Combine like terms: 12 + -2 = 10 40 + -7x = 10 + -4x Solving 40 + -7x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 40 + -7x + 4x = 10 + -4x + 4x Combine like terms: -7x + 4x = -3x 40 + -3x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 40 + -3x = 10 + 0 40 + -3x = 10 Add '-40' to each side of the equation. 40 + -40 + -3x = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -3x = 10 + -40 -3x = 10 + -40 Combine like terms: 10 + -40 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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