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Simplifying 2.24(4x + -4) = -2 + 10x + 12 Reorder the terms: 2.24(-4 + 4x) = -2 + 10x + 12 (-4 * 2.24 + 4x * 2.24) = -2 + 10x + 12 (-8.96 + 8.96x) = -2 + 10x + 12 Reorder the terms: -8.96 + 8.96x = -2 + 12 + 10x Combine like terms: -2 + 12 = 10 -8.96 + 8.96x = 10 + 10x Solving -8.96 + 8.96x = 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. -8.96 + 8.96x + -10x = 10 + 10x + -10x Combine like terms: 8.96x + -10x = -1.04x -8.96 + -1.04x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -8.96 + -1.04x = 10 + 0 -8.96 + -1.04x = 10 Add '8.96' to each side of the equation. -8.96 + 8.96 + -1.04x = 10 + 8.96 Combine like terms: -8.96 + 8.96 = 0.00 0.00 + -1.04x = 10 + 8.96 -1.04x = 10 + 8.96 Combine like terms: 10 + 8.96 = 18.96 -1.04x = 18.96 Divide each side by '-1.04'. x = -18.23076923 Simplifying x = -18.23076923
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