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Simplifying 4x + -2(3x + -9) = 2(2x + -7) + 5x Reorder the terms: 4x + -2(-9 + 3x) = 2(2x + -7) + 5x 4x + (-9 * -2 + 3x * -2) = 2(2x + -7) + 5x 4x + (18 + -6x) = 2(2x + -7) + 5x Reorder the terms: 18 + 4x + -6x = 2(2x + -7) + 5x Combine like terms: 4x + -6x = -2x 18 + -2x = 2(2x + -7) + 5x Reorder the terms: 18 + -2x = 2(-7 + 2x) + 5x 18 + -2x = (-7 * 2 + 2x * 2) + 5x 18 + -2x = (-14 + 4x) + 5x Combine like terms: 4x + 5x = 9x 18 + -2x = -14 + 9x Solving 18 + -2x = -14 + 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. 18 + -2x + -9x = -14 + 9x + -9x Combine like terms: -2x + -9x = -11x 18 + -11x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -11x = -14 + 0 18 + -11x = -14 Add '-18' to each side of the equation. 18 + -18 + -11x = -14 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = -14 + -18 -11x = -14 + -18 Combine like terms: -14 + -18 = -32 -11x = -32 Divide each side by '-11'. x = 2.909090909 Simplifying x = 2.909090909
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