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Simplifying 6(x + 4) + 2 = -10(x + -6) + -6 Reorder the terms: 6(4 + x) + 2 = -10(x + -6) + -6 (4 * 6 + x * 6) + 2 = -10(x + -6) + -6 (24 + 6x) + 2 = -10(x + -6) + -6 Reorder the terms: 24 + 2 + 6x = -10(x + -6) + -6 Combine like terms: 24 + 2 = 26 26 + 6x = -10(x + -6) + -6 Reorder the terms: 26 + 6x = -10(-6 + x) + -6 26 + 6x = (-6 * -10 + x * -10) + -6 26 + 6x = (60 + -10x) + -6 Reorder the terms: 26 + 6x = 60 + -6 + -10x Combine like terms: 60 + -6 = 54 26 + 6x = 54 + -10x Solving 26 + 6x = 54 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 26 + 6x + 10x = 54 + -10x + 10x Combine like terms: 6x + 10x = 16x 26 + 16x = 54 + -10x + 10x Combine like terms: -10x + 10x = 0 26 + 16x = 54 + 0 26 + 16x = 54 Add '-26' to each side of the equation. 26 + -26 + 16x = 54 + -26 Combine like terms: 26 + -26 = 0 0 + 16x = 54 + -26 16x = 54 + -26 Combine like terms: 54 + -26 = 28 16x = 28 Divide each side by '16'. x = 1.75 Simplifying x = 1.75
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