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Simplifying 34(18 + -4.5x) = 16(4x + -9) + 61.6 (18 * 34 + -4.5x * 34) = 16(4x + -9) + 61.6 (612 + -153x) = 16(4x + -9) + 61.6 Reorder the terms: 612 + -153x = 16(-9 + 4x) + 61.6 612 + -153x = (-9 * 16 + 4x * 16) + 61.6 612 + -153x = (-144 + 64x) + 61.6 Reorder the terms: 612 + -153x = -144 + 61.6 + 64x Combine like terms: -144 + 61.6 = -82.4 612 + -153x = -82.4 + 64x Solving 612 + -153x = -82.4 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 612 + -153x + -64x = -82.4 + 64x + -64x Combine like terms: -153x + -64x = -217x 612 + -217x = -82.4 + 64x + -64x Combine like terms: 64x + -64x = 0 612 + -217x = -82.4 + 0 612 + -217x = -82.4 Add '-612' to each side of the equation. 612 + -612 + -217x = -82.4 + -612 Combine like terms: 612 + -612 = 0 0 + -217x = -82.4 + -612 -217x = -82.4 + -612 Combine like terms: -82.4 + -612 = -694.4 -217x = -694.4 Divide each side by '-217'. x = 3.2 Simplifying x = 3.2
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