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Simplifying 3(2x + 2) + 5(x + -2) = -1x + 10 Reorder the terms: 3(2 + 2x) + 5(x + -2) = -1x + 10 (2 * 3 + 2x * 3) + 5(x + -2) = -1x + 10 (6 + 6x) + 5(x + -2) = -1x + 10 Reorder the terms: 6 + 6x + 5(-2 + x) = -1x + 10 6 + 6x + (-2 * 5 + x * 5) = -1x + 10 6 + 6x + (-10 + 5x) = -1x + 10 Reorder the terms: 6 + -10 + 6x + 5x = -1x + 10 Combine like terms: 6 + -10 = -4 -4 + 6x + 5x = -1x + 10 Combine like terms: 6x + 5x = 11x -4 + 11x = -1x + 10 Reorder the terms: -4 + 11x = 10 + -1x Solving -4 + 11x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 11x + x = 10 + -1x + x Combine like terms: 11x + x = 12x -4 + 12x = 10 + -1x + x Combine like terms: -1x + x = 0 -4 + 12x = 10 + 0 -4 + 12x = 10 Add '4' to each side of the equation. -4 + 4 + 12x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 10 + 4 12x = 10 + 4 Combine like terms: 10 + 4 = 14 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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