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Simplifying 2x + -2(2x + -7) = 4(2x + -9) + 8x Reorder the terms: 2x + -2(-7 + 2x) = 4(2x + -9) + 8x 2x + (-7 * -2 + 2x * -2) = 4(2x + -9) + 8x 2x + (14 + -4x) = 4(2x + -9) + 8x Reorder the terms: 14 + 2x + -4x = 4(2x + -9) + 8x Combine like terms: 2x + -4x = -2x 14 + -2x = 4(2x + -9) + 8x Reorder the terms: 14 + -2x = 4(-9 + 2x) + 8x 14 + -2x = (-9 * 4 + 2x * 4) + 8x 14 + -2x = (-36 + 8x) + 8x Combine like terms: 8x + 8x = 16x 14 + -2x = -36 + 16x Solving 14 + -2x = -36 + 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. 14 + -2x + -16x = -36 + 16x + -16x Combine like terms: -2x + -16x = -18x 14 + -18x = -36 + 16x + -16x Combine like terms: 16x + -16x = 0 14 + -18x = -36 + 0 14 + -18x = -36 Add '-14' to each side of the equation. 14 + -14 + -18x = -36 + -14 Combine like terms: 14 + -14 = 0 0 + -18x = -36 + -14 -18x = -36 + -14 Combine like terms: -36 + -14 = -50 -18x = -50 Divide each side by '-18'. x = 2.777777778 Simplifying x = 2.777777778
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