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Simplifying 5(6x + 3) + 2(4x + -3) = 6(6x + 5) Reorder the terms: 5(3 + 6x) + 2(4x + -3) = 6(6x + 5) (3 * 5 + 6x * 5) + 2(4x + -3) = 6(6x + 5) (15 + 30x) + 2(4x + -3) = 6(6x + 5) Reorder the terms: 15 + 30x + 2(-3 + 4x) = 6(6x + 5) 15 + 30x + (-3 * 2 + 4x * 2) = 6(6x + 5) 15 + 30x + (-6 + 8x) = 6(6x + 5) Reorder the terms: 15 + -6 + 30x + 8x = 6(6x + 5) Combine like terms: 15 + -6 = 9 9 + 30x + 8x = 6(6x + 5) Combine like terms: 30x + 8x = 38x 9 + 38x = 6(6x + 5) Reorder the terms: 9 + 38x = 6(5 + 6x) 9 + 38x = (5 * 6 + 6x * 6) 9 + 38x = (30 + 36x) Solving 9 + 38x = 30 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 9 + 38x + -36x = 30 + 36x + -36x Combine like terms: 38x + -36x = 2x 9 + 2x = 30 + 36x + -36x Combine like terms: 36x + -36x = 0 9 + 2x = 30 + 0 9 + 2x = 30 Add '-9' to each side of the equation. 9 + -9 + 2x = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 30 + -9 2x = 30 + -9 Combine like terms: 30 + -9 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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