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Simplifying 1 + 2(3x + -4) = 3(5 + -1x) + -4 Reorder the terms: 1 + 2(-4 + 3x) = 3(5 + -1x) + -4 1 + (-4 * 2 + 3x * 2) = 3(5 + -1x) + -4 1 + (-8 + 6x) = 3(5 + -1x) + -4 Combine like terms: 1 + -8 = -7 -7 + 6x = 3(5 + -1x) + -4 -7 + 6x = (5 * 3 + -1x * 3) + -4 -7 + 6x = (15 + -3x) + -4 Reorder the terms: -7 + 6x = 15 + -4 + -3x Combine like terms: 15 + -4 = 11 -7 + 6x = 11 + -3x Solving -7 + 6x = 11 + -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. -7 + 6x + 3x = 11 + -3x + 3x Combine like terms: 6x + 3x = 9x -7 + 9x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 9x = 11 + 0 -7 + 9x = 11 Add '7' to each side of the equation. -7 + 7 + 9x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 11 + 7 9x = 11 + 7 Combine like terms: 11 + 7 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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