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Simplifying 5(2x + -2) + -3x = -2(3x + -8) Reorder the terms: 5(-2 + 2x) + -3x = -2(3x + -8) (-2 * 5 + 2x * 5) + -3x = -2(3x + -8) (-10 + 10x) + -3x = -2(3x + -8) Combine like terms: 10x + -3x = 7x -10 + 7x = -2(3x + -8) Reorder the terms: -10 + 7x = -2(-8 + 3x) -10 + 7x = (-8 * -2 + 3x * -2) -10 + 7x = (16 + -6x) Solving -10 + 7x = 16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + 7x + 6x = 16 + -6x + 6x Combine like terms: 7x + 6x = 13x -10 + 13x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 13x = 16 + 0 -10 + 13x = 16 Add '10' to each side of the equation. -10 + 10 + 13x = 16 + 10 Combine like terms: -10 + 10 = 0 0 + 13x = 16 + 10 13x = 16 + 10 Combine like terms: 16 + 10 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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