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Simplifying 2x + -2(3x + -9) = 4(2x + -9) + 5x Reorder the terms: 2x + -2(-9 + 3x) = 4(2x + -9) + 5x 2x + (-9 * -2 + 3x * -2) = 4(2x + -9) + 5x 2x + (18 + -6x) = 4(2x + -9) + 5x Reorder the terms: 18 + 2x + -6x = 4(2x + -9) + 5x Combine like terms: 2x + -6x = -4x 18 + -4x = 4(2x + -9) + 5x Reorder the terms: 18 + -4x = 4(-9 + 2x) + 5x 18 + -4x = (-9 * 4 + 2x * 4) + 5x 18 + -4x = (-36 + 8x) + 5x Combine like terms: 8x + 5x = 13x 18 + -4x = -36 + 13x Solving 18 + -4x = -36 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 18 + -4x + -13x = -36 + 13x + -13x Combine like terms: -4x + -13x = -17x 18 + -17x = -36 + 13x + -13x Combine like terms: 13x + -13x = 0 18 + -17x = -36 + 0 18 + -17x = -36 Add '-18' to each side of the equation. 18 + -18 + -17x = -36 + -18 Combine like terms: 18 + -18 = 0 0 + -17x = -36 + -18 -17x = -36 + -18 Combine like terms: -36 + -18 = -54 -17x = -54 Divide each side by '-17'. x = 3.176470588 Simplifying x = 3.176470588
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