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Simplifying 7(x + -6) + 10 = 5(x + -6) Reorder the terms: 7(-6 + x) + 10 = 5(x + -6) (-6 * 7 + x * 7) + 10 = 5(x + -6) (-42 + 7x) + 10 = 5(x + -6) Reorder the terms: -42 + 10 + 7x = 5(x + -6) Combine like terms: -42 + 10 = -32 -32 + 7x = 5(x + -6) Reorder the terms: -32 + 7x = 5(-6 + x) -32 + 7x = (-6 * 5 + x * 5) -32 + 7x = (-30 + 5x) Solving -32 + 7x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -32 + 7x + -5x = -30 + 5x + -5x Combine like terms: 7x + -5x = 2x -32 + 2x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 2x = -30 + 0 -32 + 2x = -30 Add '32' to each side of the equation. -32 + 32 + 2x = -30 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = -30 + 32 2x = -30 + 32 Combine like terms: -30 + 32 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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