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Simplifying 2x + -2(3x + -7) = 5(2x + -9) + 8x Reorder the terms: 2x + -2(-7 + 3x) = 5(2x + -9) + 8x 2x + (-7 * -2 + 3x * -2) = 5(2x + -9) + 8x 2x + (14 + -6x) = 5(2x + -9) + 8x Reorder the terms: 14 + 2x + -6x = 5(2x + -9) + 8x Combine like terms: 2x + -6x = -4x 14 + -4x = 5(2x + -9) + 8x Reorder the terms: 14 + -4x = 5(-9 + 2x) + 8x 14 + -4x = (-9 * 5 + 2x * 5) + 8x 14 + -4x = (-45 + 10x) + 8x Combine like terms: 10x + 8x = 18x 14 + -4x = -45 + 18x Solving 14 + -4x = -45 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 14 + -4x + -18x = -45 + 18x + -18x Combine like terms: -4x + -18x = -22x 14 + -22x = -45 + 18x + -18x Combine like terms: 18x + -18x = 0 14 + -22x = -45 + 0 14 + -22x = -45 Add '-14' to each side of the equation. 14 + -14 + -22x = -45 + -14 Combine like terms: 14 + -14 = 0 0 + -22x = -45 + -14 -22x = -45 + -14 Combine like terms: -45 + -14 = -59 -22x = -59 Divide each side by '-22'. x = 2.681818182 Simplifying x = 2.681818182
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