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Simplifying 3(2x + -4) = 7 + -1(2x + 5) Reorder the terms: 3(-4 + 2x) = 7 + -1(2x + 5) (-4 * 3 + 2x * 3) = 7 + -1(2x + 5) (-12 + 6x) = 7 + -1(2x + 5) Reorder the terms: -12 + 6x = 7 + -1(5 + 2x) -12 + 6x = 7 + (5 * -1 + 2x * -1) -12 + 6x = 7 + (-5 + -2x) Combine like terms: 7 + -5 = 2 -12 + 6x = 2 + -2x Solving -12 + 6x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 6x + 2x = 2 + -2x + 2x Combine like terms: 6x + 2x = 8x -12 + 8x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 8x = 2 + 0 -12 + 8x = 2 Add '12' to each side of the equation. -12 + 12 + 8x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 2 + 12 8x = 2 + 12 Combine like terms: 2 + 12 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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