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Simplifying 2(x + 4) + -4(x + -1) = 30 Reorder the terms: 2(4 + x) + -4(x + -1) = 30 (4 * 2 + x * 2) + -4(x + -1) = 30 (8 + 2x) + -4(x + -1) = 30 Reorder the terms: 8 + 2x + -4(-1 + x) = 30 8 + 2x + (-1 * -4 + x * -4) = 30 8 + 2x + (4 + -4x) = 30 Reorder the terms: 8 + 4 + 2x + -4x = 30 Combine like terms: 8 + 4 = 12 12 + 2x + -4x = 30 Combine like terms: 2x + -4x = -2x 12 + -2x = 30 Solving 12 + -2x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 30 + -12 -2x = 30 + -12 Combine like terms: 30 + -12 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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