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Simplifying 5(2x + -2) + 2(1 + -3x) = 21 Reorder the terms: 5(-2 + 2x) + 2(1 + -3x) = 21 (-2 * 5 + 2x * 5) + 2(1 + -3x) = 21 (-10 + 10x) + 2(1 + -3x) = 21 -10 + 10x + (1 * 2 + -3x * 2) = 21 -10 + 10x + (2 + -6x) = 21 Reorder the terms: -10 + 2 + 10x + -6x = 21 Combine like terms: -10 + 2 = -8 -8 + 10x + -6x = 21 Combine like terms: 10x + -6x = 4x -8 + 4x = 21 Solving -8 + 4x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4x = 21 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 21 + 8 4x = 21 + 8 Combine like terms: 21 + 8 = 29 4x = 29 Divide each side by '4'. x = 7.25 Simplifying x = 7.25
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