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Simplifying 2x + 4 + -3(2x + -1) = 3(4 + -3x) + 2 + -1x Reorder the terms: 2x + 4 + -3(-1 + 2x) = 3(4 + -3x) + 2 + -1x 2x + 4 + (-1 * -3 + 2x * -3) = 3(4 + -3x) + 2 + -1x 2x + 4 + (3 + -6x) = 3(4 + -3x) + 2 + -1x Reorder the terms: 4 + 3 + 2x + -6x = 3(4 + -3x) + 2 + -1x Combine like terms: 4 + 3 = 7 7 + 2x + -6x = 3(4 + -3x) + 2 + -1x Combine like terms: 2x + -6x = -4x 7 + -4x = 3(4 + -3x) + 2 + -1x 7 + -4x = (4 * 3 + -3x * 3) + 2 + -1x 7 + -4x = (12 + -9x) + 2 + -1x Reorder the terms: 7 + -4x = 12 + 2 + -9x + -1x Combine like terms: 12 + 2 = 14 7 + -4x = 14 + -9x + -1x Combine like terms: -9x + -1x = -10x 7 + -4x = 14 + -10x Solving 7 + -4x = 14 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 7 + -4x + 10x = 14 + -10x + 10x Combine like terms: -4x + 10x = 6x 7 + 6x = 14 + -10x + 10x Combine like terms: -10x + 10x = 0 7 + 6x = 14 + 0 7 + 6x = 14 Add '-7' to each side of the equation. 7 + -7 + 6x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 14 + -7 6x = 14 + -7 Combine like terms: 14 + -7 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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