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Simplifying 10(x + -6) = 3(x + 1) Reorder the terms: 10(-6 + x) = 3(x + 1) (-6 * 10 + x * 10) = 3(x + 1) (-60 + 10x) = 3(x + 1) Reorder the terms: -60 + 10x = 3(1 + x) -60 + 10x = (1 * 3 + x * 3) -60 + 10x = (3 + 3x) Solving -60 + 10x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -60 + 10x + -3x = 3 + 3x + -3x Combine like terms: 10x + -3x = 7x -60 + 7x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -60 + 7x = 3 + 0 -60 + 7x = 3 Add '60' to each side of the equation. -60 + 60 + 7x = 3 + 60 Combine like terms: -60 + 60 = 0 0 + 7x = 3 + 60 7x = 3 + 60 Combine like terms: 3 + 60 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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