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Simplifying 10 + 6(x + -3) = 3(x + 1) Reorder the terms: 10 + 6(-3 + x) = 3(x + 1) 10 + (-3 * 6 + x * 6) = 3(x + 1) 10 + (-18 + 6x) = 3(x + 1) Combine like terms: 10 + -18 = -8 -8 + 6x = 3(x + 1) Reorder the terms: -8 + 6x = 3(1 + x) -8 + 6x = (1 * 3 + x * 3) -8 + 6x = (3 + 3x) Solving -8 + 6x = 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. -8 + 6x + -3x = 3 + 3x + -3x Combine like terms: 6x + -3x = 3x -8 + 3x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 3x = 3 + 0 -8 + 3x = 3 Add '8' to each side of the equation. -8 + 8 + 3x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 3 + 8 3x = 3 + 8 Combine like terms: 3 + 8 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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