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Simplifying 7x + -3(2x + -4) = 3(2 + -1x) Reorder the terms: 7x + -3(-4 + 2x) = 3(2 + -1x) 7x + (-4 * -3 + 2x * -3) = 3(2 + -1x) 7x + (12 + -6x) = 3(2 + -1x) Reorder the terms: 12 + 7x + -6x = 3(2 + -1x) Combine like terms: 7x + -6x = 1x 12 + 1x = 3(2 + -1x) 12 + 1x = (2 * 3 + -1x * 3) 12 + 1x = (6 + -3x) Solving 12 + 1x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 1x + 3x = 6 + -3x + 3x Combine like terms: 1x + 3x = 4x 12 + 4x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 4x = 6 + 0 12 + 4x = 6 Add '-12' to each side of the equation. 12 + -12 + 4x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 6 + -12 4x = 6 + -12 Combine like terms: 6 + -12 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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