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Simplifying 2(5x + -8) = 3(2x + -1) Reorder the terms: 2(-8 + 5x) = 3(2x + -1) (-8 * 2 + 5x * 2) = 3(2x + -1) (-16 + 10x) = 3(2x + -1) Reorder the terms: -16 + 10x = 3(-1 + 2x) -16 + 10x = (-1 * 3 + 2x * 3) -16 + 10x = (-3 + 6x) Solving -16 + 10x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 10x + -6x = -3 + 6x + -6x Combine like terms: 10x + -6x = 4x -16 + 4x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 4x = -3 + 0 -16 + 4x = -3 Add '16' to each side of the equation. -16 + 16 + 4x = -3 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -3 + 16 4x = -3 + 16 Combine like terms: -3 + 16 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25
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