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Simplifying 13(x + 3) = 4(x + 12) + 6x Reorder the terms: 13(3 + x) = 4(x + 12) + 6x (3 * 13 + x * 13) = 4(x + 12) + 6x (39 + 13x) = 4(x + 12) + 6x Reorder the terms: 39 + 13x = 4(12 + x) + 6x 39 + 13x = (12 * 4 + x * 4) + 6x 39 + 13x = (48 + 4x) + 6x Combine like terms: 4x + 6x = 10x 39 + 13x = 48 + 10x Solving 39 + 13x = 48 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 39 + 13x + -10x = 48 + 10x + -10x Combine like terms: 13x + -10x = 3x 39 + 3x = 48 + 10x + -10x Combine like terms: 10x + -10x = 0 39 + 3x = 48 + 0 39 + 3x = 48 Add '-39' to each side of the equation. 39 + -39 + 3x = 48 + -39 Combine like terms: 39 + -39 = 0 0 + 3x = 48 + -39 3x = 48 + -39 Combine like terms: 48 + -39 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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