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Simplifying (2 * 5x) + (2(24 + -2x)) = 30 Multiply 2 * 5 (10x) + (2(24 + -2x)) = 30 (10x) + ((24 * 2 + -2x * 2)) = 30 (10x) + ((48 + -4x)) = 30 (10x) + (48 + -4x) = 30 Remove parenthesis around (48 + -4x) (10x) + 48 + -4x = 30 Reorder the terms: 48 + (10x) + -4x = 30 Combine like terms: (10x) + -4x = 6x 48 + 6x = 30 Solving 48 + 6x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 6x = 30 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 30 + -48 6x = 30 + -48 Combine like terms: 30 + -48 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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