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Simplifying 3(5 + -6x + -4x) + 4(6x + 4) = 13 Combine like terms: -6x + -4x = -10x 3(5 + -10x) + 4(6x + 4) = 13 (5 * 3 + -10x * 3) + 4(6x + 4) = 13 (15 + -30x) + 4(6x + 4) = 13 Reorder the terms: 15 + -30x + 4(4 + 6x) = 13 15 + -30x + (4 * 4 + 6x * 4) = 13 15 + -30x + (16 + 24x) = 13 Reorder the terms: 15 + 16 + -30x + 24x = 13 Combine like terms: 15 + 16 = 31 31 + -30x + 24x = 13 Combine like terms: -30x + 24x = -6x 31 + -6x = 13 Solving 31 + -6x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -6x = 13 + -31 Combine like terms: 31 + -31 = 0 0 + -6x = 13 + -31 -6x = 13 + -31 Combine like terms: 13 + -31 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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