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Simplifying 3x + -2(7 + -1x) + -4 = 3(2x + -1) + 6 3x + (7 * -2 + -1x * -2) + -4 = 3(2x + -1) + 6 3x + (-14 + 2x) + -4 = 3(2x + -1) + 6 Reorder the terms: -14 + -4 + 3x + 2x = 3(2x + -1) + 6 Combine like terms: -14 + -4 = -18 -18 + 3x + 2x = 3(2x + -1) + 6 Combine like terms: 3x + 2x = 5x -18 + 5x = 3(2x + -1) + 6 Reorder the terms: -18 + 5x = 3(-1 + 2x) + 6 -18 + 5x = (-1 * 3 + 2x * 3) + 6 -18 + 5x = (-3 + 6x) + 6 Reorder the terms: -18 + 5x = -3 + 6 + 6x Combine like terms: -3 + 6 = 3 -18 + 5x = 3 + 6x Solving -18 + 5x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 5x + -6x = 3 + 6x + -6x Combine like terms: 5x + -6x = -1x -18 + -1x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -1x = 3 + 0 -18 + -1x = 3 Add '18' to each side of the equation. -18 + 18 + -1x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 3 + 18 -1x = 3 + 18 Combine like terms: 3 + 18 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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