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Simplifying 5(3x + 1) + 2(2x + 3) = 6(3x + 4) Reorder the terms: 5(1 + 3x) + 2(2x + 3) = 6(3x + 4) (1 * 5 + 3x * 5) + 2(2x + 3) = 6(3x + 4) (5 + 15x) + 2(2x + 3) = 6(3x + 4) Reorder the terms: 5 + 15x + 2(3 + 2x) = 6(3x + 4) 5 + 15x + (3 * 2 + 2x * 2) = 6(3x + 4) 5 + 15x + (6 + 4x) = 6(3x + 4) Reorder the terms: 5 + 6 + 15x + 4x = 6(3x + 4) Combine like terms: 5 + 6 = 11 11 + 15x + 4x = 6(3x + 4) Combine like terms: 15x + 4x = 19x 11 + 19x = 6(3x + 4) Reorder the terms: 11 + 19x = 6(4 + 3x) 11 + 19x = (4 * 6 + 3x * 6) 11 + 19x = (24 + 18x) Solving 11 + 19x = 24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 11 + 19x + -18x = 24 + 18x + -18x Combine like terms: 19x + -18x = 1x 11 + 1x = 24 + 18x + -18x Combine like terms: 18x + -18x = 0 11 + 1x = 24 + 0 11 + 1x = 24 Add '-11' to each side of the equation. 11 + -11 + 1x = 24 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 24 + -11 1x = 24 + -11 Combine like terms: 24 + -11 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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