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Simplifying 3(2x + -4) = 24 + -1(x + 8) Reorder the terms: 3(-4 + 2x) = 24 + -1(x + 8) (-4 * 3 + 2x * 3) = 24 + -1(x + 8) (-12 + 6x) = 24 + -1(x + 8) Reorder the terms: -12 + 6x = 24 + -1(8 + x) -12 + 6x = 24 + (8 * -1 + x * -1) -12 + 6x = 24 + (-8 + -1x) Combine like terms: 24 + -8 = 16 -12 + 6x = 16 + -1x Solving -12 + 6x = 16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 6x + x = 16 + -1x + x Combine like terms: 6x + x = 7x -12 + 7x = 16 + -1x + x Combine like terms: -1x + x = 0 -12 + 7x = 16 + 0 -12 + 7x = 16 Add '12' to each side of the equation. -12 + 12 + 7x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 16 + 12 7x = 16 + 12 Combine like terms: 16 + 12 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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