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Simplifying 3(2x + -4) = 5x + -7 Reorder the terms: 3(-4 + 2x) = 5x + -7 (-4 * 3 + 2x * 3) = 5x + -7 (-12 + 6x) = 5x + -7 Reorder the terms: -12 + 6x = -7 + 5x Solving -12 + 6x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 6x + -5x = -7 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = -7 + 0 -12 + 1x = -7 Add '12' to each side of the equation. -12 + 12 + 1x = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -7 + 12 1x = -7 + 12 Combine like terms: -7 + 12 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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