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Simplifying 3(x + -1) = 2 + -4(x + 3) Reorder the terms: 3(-1 + x) = 2 + -4(x + 3) (-1 * 3 + x * 3) = 2 + -4(x + 3) (-3 + 3x) = 2 + -4(x + 3) Reorder the terms: -3 + 3x = 2 + -4(3 + x) -3 + 3x = 2 + (3 * -4 + x * -4) -3 + 3x = 2 + (-12 + -4x) Combine like terms: 2 + -12 = -10 -3 + 3x = -10 + -4x Solving -3 + 3x = -10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 3x + 4x = -10 + -4x + 4x Combine like terms: 3x + 4x = 7x -3 + 7x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 7x = -10 + 0 -3 + 7x = -10 Add '3' to each side of the equation. -3 + 3 + 7x = -10 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = -10 + 3 7x = -10 + 3 Combine like terms: -10 + 3 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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