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Simplifying 3.5(-2x + 2) = 2(4.5x + -1) Reorder the terms: 3.5(2 + -2x) = 2(4.5x + -1) (2 * 3.5 + -2x * 3.5) = 2(4.5x + -1) (7 + -7x) = 2(4.5x + -1) Reorder the terms: 7 + -7x = 2(-1 + 4.5x) 7 + -7x = (-1 * 2 + 4.5x * 2) 7 + -7x = (-2 + 9x) Solving 7 + -7x = -2 + 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. 7 + -7x + -9x = -2 + 9x + -9x Combine like terms: -7x + -9x = -16x 7 + -16x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -16x = -2 + 0 7 + -16x = -2 Add '-7' to each side of the equation. 7 + -7 + -16x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -16x = -2 + -7 -16x = -2 + -7 Combine like terms: -2 + -7 = -9 -16x = -9 Divide each side by '-16'. x = 0.5625 Simplifying x = 0.5625
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