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Simplifying 3(2x + -4) = 23 + -1x Reorder the terms: 3(-4 + 2x) = 23 + -1x (-4 * 3 + 2x * 3) = 23 + -1x (-12 + 6x) = 23 + -1x Solving -12 + 6x = 23 + -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 = 23 + -1x + x Combine like terms: 6x + x = 7x -12 + 7x = 23 + -1x + x Combine like terms: -1x + x = 0 -12 + 7x = 23 + 0 -12 + 7x = 23 Add '12' to each side of the equation. -12 + 12 + 7x = 23 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 23 + 12 7x = 23 + 12 Combine like terms: 23 + 12 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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