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Simplifying 3[3 + -3(x + -1)] + 1 = 2(-14 + -1x) + 2x + 14 Reorder the terms: 3[3 + -3(-1 + x)] + 1 = 2(-14 + -1x) + 2x + 14 3[3 + (-1 * -3 + x * -3)] + 1 = 2(-14 + -1x) + 2x + 14 3[3 + (3 + -3x)] + 1 = 2(-14 + -1x) + 2x + 14 Combine like terms: 3 + 3 = 6 3[6 + -3x] + 1 = 2(-14 + -1x) + 2x + 14 [6 * 3 + -3x * 3] + 1 = 2(-14 + -1x) + 2x + 14 [18 + -9x] + 1 = 2(-14 + -1x) + 2x + 14 Reorder the terms: 18 + 1 + -9x = 2(-14 + -1x) + 2x + 14 Combine like terms: 18 + 1 = 19 19 + -9x = 2(-14 + -1x) + 2x + 14 19 + -9x = (-14 * 2 + -1x * 2) + 2x + 14 19 + -9x = (-28 + -2x) + 2x + 14 Reorder the terms: 19 + -9x = -28 + 14 + -2x + 2x Combine like terms: -28 + 14 = -14 19 + -9x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + -9x = -14 + 0 19 + -9x = -14 Solving 19 + -9x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -9x = -14 + -19 Combine like terms: 19 + -19 = 0 0 + -9x = -14 + -19 -9x = -14 + -19 Combine like terms: -14 + -19 = -33 -9x = -33 Divide each side by '-9'. x = 3.666666667 Simplifying x = 3.666666667
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