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Simplifying 3(2x + 3) + -1(x + -4) + 1 + -2x = -50 Reorder the terms: 3(3 + 2x) + -1(x + -4) + 1 + -2x = -50 (3 * 3 + 2x * 3) + -1(x + -4) + 1 + -2x = -50 (9 + 6x) + -1(x + -4) + 1 + -2x = -50 Reorder the terms: 9 + 6x + -1(-4 + x) + 1 + -2x = -50 9 + 6x + (-4 * -1 + x * -1) + 1 + -2x = -50 9 + 6x + (4 + -1x) + 1 + -2x = -50 Reorder the terms: 9 + 4 + 1 + 6x + -1x + -2x = -50 Combine like terms: 9 + 4 = 13 13 + 1 + 6x + -1x + -2x = -50 Combine like terms: 13 + 1 = 14 14 + 6x + -1x + -2x = -50 Combine like terms: 6x + -1x = 5x 14 + 5x + -2x = -50 Combine like terms: 5x + -2x = 3x 14 + 3x = -50 Solving 14 + 3x = -50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = -50 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = -50 + -14 3x = -50 + -14 Combine like terms: -50 + -14 = -64 3x = -64 Divide each side by '3'. x = -21.33333333 Simplifying x = -21.33333333
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