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Simplifying 3(2x + -4) + -2x = x + 24 Reorder the terms: 3(-4 + 2x) + -2x = x + 24 (-4 * 3 + 2x * 3) + -2x = x + 24 (-12 + 6x) + -2x = x + 24 Combine like terms: 6x + -2x = 4x -12 + 4x = x + 24 Reorder the terms: -12 + 4x = 24 + x Solving -12 + 4x = 24 + 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. -12 + 4x + -1x = 24 + x + -1x Combine like terms: 4x + -1x = 3x -12 + 3x = 24 + x + -1x Combine like terms: x + -1x = 0 -12 + 3x = 24 + 0 -12 + 3x = 24 Add '12' to each side of the equation. -12 + 12 + 3x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 24 + 12 3x = 24 + 12 Combine like terms: 24 + 12 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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