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Simplifying 7(10x + -6) = 8 + -6(-5x + -5) Reorder the terms: 7(-6 + 10x) = 8 + -6(-5x + -5) (-6 * 7 + 10x * 7) = 8 + -6(-5x + -5) (-42 + 70x) = 8 + -6(-5x + -5) Reorder the terms: -42 + 70x = 8 + -6(-5 + -5x) -42 + 70x = 8 + (-5 * -6 + -5x * -6) -42 + 70x = 8 + (30 + 30x) Combine like terms: 8 + 30 = 38 -42 + 70x = 38 + 30x Solving -42 + 70x = 38 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -42 + 70x + -30x = 38 + 30x + -30x Combine like terms: 70x + -30x = 40x -42 + 40x = 38 + 30x + -30x Combine like terms: 30x + -30x = 0 -42 + 40x = 38 + 0 -42 + 40x = 38 Add '42' to each side of the equation. -42 + 42 + 40x = 38 + 42 Combine like terms: -42 + 42 = 0 0 + 40x = 38 + 42 40x = 38 + 42 Combine like terms: 38 + 42 = 80 40x = 80 Divide each side by '40'. x = 2 Simplifying x = 2
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