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Simplifying 5(4x + 8) + 5(6 + 3x) = 10 + 36x Reorder the terms: 5(8 + 4x) + 5(6 + 3x) = 10 + 36x (8 * 5 + 4x * 5) + 5(6 + 3x) = 10 + 36x (40 + 20x) + 5(6 + 3x) = 10 + 36x 40 + 20x + (6 * 5 + 3x * 5) = 10 + 36x 40 + 20x + (30 + 15x) = 10 + 36x Reorder the terms: 40 + 30 + 20x + 15x = 10 + 36x Combine like terms: 40 + 30 = 70 70 + 20x + 15x = 10 + 36x Combine like terms: 20x + 15x = 35x 70 + 35x = 10 + 36x Solving 70 + 35x = 10 + 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. 70 + 35x + -36x = 10 + 36x + -36x Combine like terms: 35x + -36x = -1x 70 + -1x = 10 + 36x + -36x Combine like terms: 36x + -36x = 0 70 + -1x = 10 + 0 70 + -1x = 10 Add '-70' to each side of the equation. 70 + -70 + -1x = 10 + -70 Combine like terms: 70 + -70 = 0 0 + -1x = 10 + -70 -1x = 10 + -70 Combine like terms: 10 + -70 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60
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