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Simplifying 3(x + -2) + -2(2x + -8) = -4(x + -3) + -2 Reorder the terms: 3(-2 + x) + -2(2x + -8) = -4(x + -3) + -2 (-2 * 3 + x * 3) + -2(2x + -8) = -4(x + -3) + -2 (-6 + 3x) + -2(2x + -8) = -4(x + -3) + -2 Reorder the terms: -6 + 3x + -2(-8 + 2x) = -4(x + -3) + -2 -6 + 3x + (-8 * -2 + 2x * -2) = -4(x + -3) + -2 -6 + 3x + (16 + -4x) = -4(x + -3) + -2 Reorder the terms: -6 + 16 + 3x + -4x = -4(x + -3) + -2 Combine like terms: -6 + 16 = 10 10 + 3x + -4x = -4(x + -3) + -2 Combine like terms: 3x + -4x = -1x 10 + -1x = -4(x + -3) + -2 Reorder the terms: 10 + -1x = -4(-3 + x) + -2 10 + -1x = (-3 * -4 + x * -4) + -2 10 + -1x = (12 + -4x) + -2 Reorder the terms: 10 + -1x = 12 + -2 + -4x Combine like terms: 12 + -2 = 10 10 + -1x = 10 + -4x Add '-10' to each side of the equation. 10 + -10 + -1x = 10 + -10 + -4x Combine like terms: 10 + -10 = 0 0 + -1x = 10 + -10 + -4x -1x = 10 + -10 + -4x Combine like terms: 10 + -10 = 0 -1x = 0 + -4x -1x = -4x Solving -1x = -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. -1x + 4x = -4x + 4x Combine like terms: -1x + 4x = 3x 3x = -4x + 4x Combine like terms: -4x + 4x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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