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Simplifying 3(2x + -4) = 3x + -5x + 1 Reorder the terms: 3(-4 + 2x) = 3x + -5x + 1 (-4 * 3 + 2x * 3) = 3x + -5x + 1 (-12 + 6x) = 3x + -5x + 1 Reorder the terms: -12 + 6x = 1 + 3x + -5x Combine like terms: 3x + -5x = -2x -12 + 6x = 1 + -2x Solving -12 + 6x = 1 + -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 = 1 + -2x + 2x Combine like terms: 6x + 2x = 8x -12 + 8x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 8x = 1 + 0 -12 + 8x = 1 Add '12' to each side of the equation. -12 + 12 + 8x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 1 + 12 8x = 1 + 12 Combine like terms: 1 + 12 = 13 8x = 13 Divide each side by '8'. x = 1.625 Simplifying x = 1.625
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