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Simplifying 5(2x + -2) + 3(x + -2) = -2 Reorder the terms: 5(-2 + 2x) + 3(x + -2) = -2 (-2 * 5 + 2x * 5) + 3(x + -2) = -2 (-10 + 10x) + 3(x + -2) = -2 Reorder the terms: -10 + 10x + 3(-2 + x) = -2 -10 + 10x + (-2 * 3 + x * 3) = -2 -10 + 10x + (-6 + 3x) = -2 Reorder the terms: -10 + -6 + 10x + 3x = -2 Combine like terms: -10 + -6 = -16 -16 + 10x + 3x = -2 Combine like terms: 10x + 3x = 13x -16 + 13x = -2 Solving -16 + 13x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 13x = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 13x = -2 + 16 13x = -2 + 16 Combine like terms: -2 + 16 = 14 13x = 14 Divide each side by '13'. x = 1.076923077 Simplifying x = 1.076923077
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