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Simplifying 3(2x + -4) + -2(x + 4) = x + -5 Reorder the terms: 3(-4 + 2x) + -2(x + 4) = x + -5 (-4 * 3 + 2x * 3) + -2(x + 4) = x + -5 (-12 + 6x) + -2(x + 4) = x + -5 Reorder the terms: -12 + 6x + -2(4 + x) = x + -5 -12 + 6x + (4 * -2 + x * -2) = x + -5 -12 + 6x + (-8 + -2x) = x + -5 Reorder the terms: -12 + -8 + 6x + -2x = x + -5 Combine like terms: -12 + -8 = -20 -20 + 6x + -2x = x + -5 Combine like terms: 6x + -2x = 4x -20 + 4x = x + -5 Reorder the terms: -20 + 4x = -5 + x Solving -20 + 4x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -20 + 4x + -1x = -5 + x + -1x Combine like terms: 4x + -1x = 3x -20 + 3x = -5 + x + -1x Combine like terms: x + -1x = 0 -20 + 3x = -5 + 0 -20 + 3x = -5 Add '20' to each side of the equation. -20 + 20 + 3x = -5 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = -5 + 20 3x = -5 + 20 Combine like terms: -5 + 20 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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