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Simplifying 0.25(2x + -12) + 3x = -3x + 10 Reorder the terms: 0.25(-12 + 2x) + 3x = -3x + 10 (-12 * 0.25 + 2x * 0.25) + 3x = -3x + 10 (-3 + 0.5x) + 3x = -3x + 10 Combine like terms: 0.5x + 3x = 3.5x -3 + 3.5x = -3x + 10 Reorder the terms: -3 + 3.5x = 10 + -3x Solving -3 + 3.5x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -3 + 3.5x + 3x = 10 + -3x + 3x Combine like terms: 3.5x + 3x = 6.5x -3 + 6.5x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 6.5x = 10 + 0 -3 + 6.5x = 10 Add '3' to each side of the equation. -3 + 3 + 6.5x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 6.5x = 10 + 3 6.5x = 10 + 3 Combine like terms: 10 + 3 = 13 6.5x = 13 Divide each side by '6.5'. x = 2 Simplifying x = 2
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