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Simplifying 3x + -3(x + 4) = 2 + -1(x + 3) Reorder the terms: 3x + -3(4 + x) = 2 + -1(x + 3) 3x + (4 * -3 + x * -3) = 2 + -1(x + 3) 3x + (-12 + -3x) = 2 + -1(x + 3) Reorder the terms: -12 + 3x + -3x = 2 + -1(x + 3) Combine like terms: 3x + -3x = 0 -12 + 0 = 2 + -1(x + 3) -12 = 2 + -1(x + 3) Reorder the terms: -12 = 2 + -1(3 + x) -12 = 2 + (3 * -1 + x * -1) -12 = 2 + (-3 + -1x) Combine like terms: 2 + -3 = -1 -12 = -1 + -1x Solving -12 = -1 + -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 + x = -1 + -1x + x Combine like terms: -1x + x = 0 -12 + x = -1 + 0 -12 + x = -1 Add '12' to each side of the equation. -12 + 12 + x = -1 + 12 Combine like terms: -12 + 12 = 0 0 + x = -1 + 12 x = -1 + 12 Combine like terms: -1 + 12 = 11 x = 11 Simplifying x = 11
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