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Simplifying -3x + -2(6x + -7) = 4(3 + -2x) + 17x + -8 Reorder the terms: -3x + -2(-7 + 6x) = 4(3 + -2x) + 17x + -8 -3x + (-7 * -2 + 6x * -2) = 4(3 + -2x) + 17x + -8 -3x + (14 + -12x) = 4(3 + -2x) + 17x + -8 Reorder the terms: 14 + -3x + -12x = 4(3 + -2x) + 17x + -8 Combine like terms: -3x + -12x = -15x 14 + -15x = 4(3 + -2x) + 17x + -8 14 + -15x = (3 * 4 + -2x * 4) + 17x + -8 14 + -15x = (12 + -8x) + 17x + -8 Reorder the terms: 14 + -15x = 12 + -8 + -8x + 17x Combine like terms: 12 + -8 = 4 14 + -15x = 4 + -8x + 17x Combine like terms: -8x + 17x = 9x 14 + -15x = 4 + 9x Solving 14 + -15x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + -15x + -9x = 4 + 9x + -9x Combine like terms: -15x + -9x = -24x 14 + -24x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -24x = 4 + 0 14 + -24x = 4 Add '-14' to each side of the equation. 14 + -14 + -24x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -24x = 4 + -14 -24x = 4 + -14 Combine like terms: 4 + -14 = -10 -24x = -10 Divide each side by '-24'. x = 0.4166666667 Simplifying x = 0.4166666667
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