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Simplifying 3.25(4x + -4) = -2 + 10x + 12 Reorder the terms: 3.25(-4 + 4x) = -2 + 10x + 12 (-4 * 3.25 + 4x * 3.25) = -2 + 10x + 12 (-13 + 13x) = -2 + 10x + 12 Reorder the terms: -13 + 13x = -2 + 12 + 10x Combine like terms: -2 + 12 = 10 -13 + 13x = 10 + 10x Solving -13 + 13x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -13 + 13x + -10x = 10 + 10x + -10x Combine like terms: 13x + -10x = 3x -13 + 3x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 + 3x = 10 + 0 -13 + 3x = 10 Add '13' to each side of the equation. -13 + 13 + 3x = 10 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 10 + 13 3x = 10 + 13 Combine like terms: 10 + 13 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667
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