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Simplifying (12x + 48) + -1(24x + 6) = 0 Reorder the terms: (48 + 12x) + -1(24x + 6) = 0 Remove parenthesis around (48 + 12x) 48 + 12x + -1(24x + 6) = 0 Reorder the terms: 48 + 12x + -1(6 + 24x) = 0 48 + 12x + (6 * -1 + 24x * -1) = 0 48 + 12x + (-6 + -24x) = 0 Reorder the terms: 48 + -6 + 12x + -24x = 0 Combine like terms: 48 + -6 = 42 42 + 12x + -24x = 0 Combine like terms: 12x + -24x = -12x 42 + -12x = 0 Solving 42 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -12x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -12x = 0 + -42 -12x = 0 + -42 Combine like terms: 0 + -42 = -42 -12x = -42 Divide each side by '-12'. x = 3.5 Simplifying x = 3.5
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