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Simplifying 2 + -3(x + 4) = 2(4 + -3x) Reorder the terms: 2 + -3(4 + x) = 2(4 + -3x) 2 + (4 * -3 + x * -3) = 2(4 + -3x) 2 + (-12 + -3x) = 2(4 + -3x) Combine like terms: 2 + -12 = -10 -10 + -3x = 2(4 + -3x) -10 + -3x = (4 * 2 + -3x * 2) -10 + -3x = (8 + -6x) Solving -10 + -3x = 8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + -3x + 6x = 8 + -6x + 6x Combine like terms: -3x + 6x = 3x -10 + 3x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 3x = 8 + 0 -10 + 3x = 8 Add '10' to each side of the equation. -10 + 10 + 3x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 8 + 10 3x = 8 + 10 Combine like terms: 8 + 10 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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