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Simplifying 2(3x + -6) = 5 + -1(x + 3) Reorder the terms: 2(-6 + 3x) = 5 + -1(x + 3) (-6 * 2 + 3x * 2) = 5 + -1(x + 3) (-12 + 6x) = 5 + -1(x + 3) Reorder the terms: -12 + 6x = 5 + -1(3 + x) -12 + 6x = 5 + (3 * -1 + x * -1) -12 + 6x = 5 + (-3 + -1x) Combine like terms: 5 + -3 = 2 -12 + 6x = 2 + -1x Solving -12 + 6x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 6x + x = 2 + -1x + x Combine like terms: 6x + x = 7x -12 + 7x = 2 + -1x + x Combine like terms: -1x + x = 0 -12 + 7x = 2 + 0 -12 + 7x = 2 Add '12' to each side of the equation. -12 + 12 + 7x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 2 + 12 7x = 2 + 12 Combine like terms: 2 + 12 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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