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Simplifying 5(x + 2) + 2 = -6(x + -4) + -10 Reorder the terms: 5(2 + x) + 2 = -6(x + -4) + -10 (2 * 5 + x * 5) + 2 = -6(x + -4) + -10 (10 + 5x) + 2 = -6(x + -4) + -10 Reorder the terms: 10 + 2 + 5x = -6(x + -4) + -10 Combine like terms: 10 + 2 = 12 12 + 5x = -6(x + -4) + -10 Reorder the terms: 12 + 5x = -6(-4 + x) + -10 12 + 5x = (-4 * -6 + x * -6) + -10 12 + 5x = (24 + -6x) + -10 Reorder the terms: 12 + 5x = 24 + -10 + -6x Combine like terms: 24 + -10 = 14 12 + 5x = 14 + -6x Solving 12 + 5x = 14 + -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. 12 + 5x + 6x = 14 + -6x + 6x Combine like terms: 5x + 6x = 11x 12 + 11x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 11x = 14 + 0 12 + 11x = 14 Add '-12' to each side of the equation. 12 + -12 + 11x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 14 + -12 11x = 14 + -12 Combine like terms: 14 + -12 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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