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Simplifying 5 + 2(2 + -4x) = 5x + 2(2x + -4) 5 + (2 * 2 + -4x * 2) = 5x + 2(2x + -4) 5 + (4 + -8x) = 5x + 2(2x + -4) Combine like terms: 5 + 4 = 9 9 + -8x = 5x + 2(2x + -4) Reorder the terms: 9 + -8x = 5x + 2(-4 + 2x) 9 + -8x = 5x + (-4 * 2 + 2x * 2) 9 + -8x = 5x + (-8 + 4x) Reorder the terms: 9 + -8x = -8 + 5x + 4x Combine like terms: 5x + 4x = 9x 9 + -8x = -8 + 9x Solving 9 + -8x = -8 + 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. 9 + -8x + -9x = -8 + 9x + -9x Combine like terms: -8x + -9x = -17x 9 + -17x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + -17x = -8 + 0 9 + -17x = -8 Add '-9' to each side of the equation. 9 + -9 + -17x = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -17x = -8 + -9 -17x = -8 + -9 Combine like terms: -8 + -9 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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