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Simplifying 5 + 5(2x + -2) = -3(4x + -3) + 6 Reorder the terms: 5 + 5(-2 + 2x) = -3(4x + -3) + 6 5 + (-2 * 5 + 2x * 5) = -3(4x + -3) + 6 5 + (-10 + 10x) = -3(4x + -3) + 6 Combine like terms: 5 + -10 = -5 -5 + 10x = -3(4x + -3) + 6 Reorder the terms: -5 + 10x = -3(-3 + 4x) + 6 -5 + 10x = (-3 * -3 + 4x * -3) + 6 -5 + 10x = (9 + -12x) + 6 Reorder the terms: -5 + 10x = 9 + 6 + -12x Combine like terms: 9 + 6 = 15 -5 + 10x = 15 + -12x Solving -5 + 10x = 15 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -5 + 10x + 12x = 15 + -12x + 12x Combine like terms: 10x + 12x = 22x -5 + 22x = 15 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 22x = 15 + 0 -5 + 22x = 15 Add '5' to each side of the equation. -5 + 5 + 22x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 22x = 15 + 5 22x = 15 + 5 Combine like terms: 15 + 5 = 20 22x = 20 Divide each side by '22'. x = 0.9090909091 Simplifying x = 0.9090909091
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