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Simplifying 2x + -2(2x + -9) = 5(2x + -8) + 6x Reorder the terms: 2x + -2(-9 + 2x) = 5(2x + -8) + 6x 2x + (-9 * -2 + 2x * -2) = 5(2x + -8) + 6x 2x + (18 + -4x) = 5(2x + -8) + 6x Reorder the terms: 18 + 2x + -4x = 5(2x + -8) + 6x Combine like terms: 2x + -4x = -2x 18 + -2x = 5(2x + -8) + 6x Reorder the terms: 18 + -2x = 5(-8 + 2x) + 6x 18 + -2x = (-8 * 5 + 2x * 5) + 6x 18 + -2x = (-40 + 10x) + 6x Combine like terms: 10x + 6x = 16x 18 + -2x = -40 + 16x Solving 18 + -2x = -40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 18 + -2x + -16x = -40 + 16x + -16x Combine like terms: -2x + -16x = -18x 18 + -18x = -40 + 16x + -16x Combine like terms: 16x + -16x = 0 18 + -18x = -40 + 0 18 + -18x = -40 Add '-18' to each side of the equation. 18 + -18 + -18x = -40 + -18 Combine like terms: 18 + -18 = 0 0 + -18x = -40 + -18 -18x = -40 + -18 Combine like terms: -40 + -18 = -58 -18x = -58 Divide each side by '-18'. x = 3.222222222 Simplifying x = 3.222222222
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