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Simplifying 3(6x + 5) + -6s = 3(4x + 5) + -17 Reorder the terms: 3(5 + 6x) + -6s = 3(4x + 5) + -17 (5 * 3 + 6x * 3) + -6s = 3(4x + 5) + -17 (15 + 18x) + -6s = 3(4x + 5) + -17 Reorder the terms: 15 + -6s + 18x = 3(4x + 5) + -17 Reorder the terms: 15 + -6s + 18x = 3(5 + 4x) + -17 15 + -6s + 18x = (5 * 3 + 4x * 3) + -17 15 + -6s + 18x = (15 + 12x) + -17 Reorder the terms: 15 + -6s + 18x = 15 + -17 + 12x Combine like terms: 15 + -17 = -2 15 + -6s + 18x = -2 + 12x Solving 15 + -6s + 18x = -2 + 12x Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -6s + -15 + 18x = -2 + -15 + 12x Reorder the terms: 15 + -15 + -6s + 18x = -2 + -15 + 12x Combine like terms: 15 + -15 = 0 0 + -6s + 18x = -2 + -15 + 12x -6s + 18x = -2 + -15 + 12x Combine like terms: -2 + -15 = -17 -6s + 18x = -17 + 12x Add '-18x' to each side of the equation. -6s + 18x + -18x = -17 + 12x + -18x Combine like terms: 18x + -18x = 0 -6s + 0 = -17 + 12x + -18x -6s = -17 + 12x + -18x Combine like terms: 12x + -18x = -6x -6s = -17 + -6x Divide each side by '-6'. s = 2.833333333 + x Simplifying s = 2.833333333 + x
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