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Simplifying 4(x + 2) + -2(3x + -1) = 30 Reorder the terms: 4(2 + x) + -2(3x + -1) = 30 (2 * 4 + x * 4) + -2(3x + -1) = 30 (8 + 4x) + -2(3x + -1) = 30 Reorder the terms: 8 + 4x + -2(-1 + 3x) = 30 8 + 4x + (-1 * -2 + 3x * -2) = 30 8 + 4x + (2 + -6x) = 30 Reorder the terms: 8 + 2 + 4x + -6x = 30 Combine like terms: 8 + 2 = 10 10 + 4x + -6x = 30 Combine like terms: 4x + -6x = -2x 10 + -2x = 30 Solving 10 + -2x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 30 + -10 -2x = 30 + -10 Combine like terms: 30 + -10 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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