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Simplifying 3x + -2(2x + -9) = 3(2x + -7) + 5x Reorder the terms: 3x + -2(-9 + 2x) = 3(2x + -7) + 5x 3x + (-9 * -2 + 2x * -2) = 3(2x + -7) + 5x 3x + (18 + -4x) = 3(2x + -7) + 5x Reorder the terms: 18 + 3x + -4x = 3(2x + -7) + 5x Combine like terms: 3x + -4x = -1x 18 + -1x = 3(2x + -7) + 5x Reorder the terms: 18 + -1x = 3(-7 + 2x) + 5x 18 + -1x = (-7 * 3 + 2x * 3) + 5x 18 + -1x = (-21 + 6x) + 5x Combine like terms: 6x + 5x = 11x 18 + -1x = -21 + 11x Solving 18 + -1x = -21 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 18 + -1x + -11x = -21 + 11x + -11x Combine like terms: -1x + -11x = -12x 18 + -12x = -21 + 11x + -11x Combine like terms: 11x + -11x = 0 18 + -12x = -21 + 0 18 + -12x = -21 Add '-18' to each side of the equation. 18 + -18 + -12x = -21 + -18 Combine like terms: 18 + -18 = 0 0 + -12x = -21 + -18 -12x = -21 + -18 Combine like terms: -21 + -18 = -39 -12x = -39 Divide each side by '-12'. x = 3.25 Simplifying x = 3.25
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