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Simplifying 2(3x + -16) = 1.25(x + -3) Reorder the terms: 2(-16 + 3x) = 1.25(x + -3) (-16 * 2 + 3x * 2) = 1.25(x + -3) (-32 + 6x) = 1.25(x + -3) Reorder the terms: -32 + 6x = 1.25(-3 + x) -32 + 6x = (-3 * 1.25 + x * 1.25) -32 + 6x = (-3.75 + 1.25x) Solving -32 + 6x = -3.75 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. -32 + 6x + -1.25x = -3.75 + 1.25x + -1.25x Combine like terms: 6x + -1.25x = 4.75x -32 + 4.75x = -3.75 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 -32 + 4.75x = -3.75 + 0.00 -32 + 4.75x = -3.75 Add '32' to each side of the equation. -32 + 32 + 4.75x = -3.75 + 32 Combine like terms: -32 + 32 = 0 0 + 4.75x = -3.75 + 32 4.75x = -3.75 + 32 Combine like terms: -3.75 + 32 = 28.25 4.75x = 28.25 Divide each side by '4.75'. x = 5.947368421 Simplifying x = 5.947368421
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