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Simplifying 2.25(4x + -4) = 2 + 10x + 12 Reorder the terms: 2.25(-4 + 4x) = 2 + 10x + 12 (-4 * 2.25 + 4x * 2.25) = 2 + 10x + 12 (-9 + 9x) = 2 + 10x + 12 Reorder the terms: -9 + 9x = 2 + 12 + 10x Combine like terms: 2 + 12 = 14 -9 + 9x = 14 + 10x Solving -9 + 9x = 14 + 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. -9 + 9x + -10x = 14 + 10x + -10x Combine like terms: 9x + -10x = -1x -9 + -1x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + -1x = 14 + 0 -9 + -1x = 14 Add '9' to each side of the equation. -9 + 9 + -1x = 14 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 14 + 9 -1x = 14 + 9 Combine like terms: 14 + 9 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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