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Simplifying 6(3x + 5) + -19 = x + 40 Reorder the terms: 6(5 + 3x) + -19 = x + 40 (5 * 6 + 3x * 6) + -19 = x + 40 (30 + 18x) + -19 = x + 40 Reorder the terms: 30 + -19 + 18x = x + 40 Combine like terms: 30 + -19 = 11 11 + 18x = x + 40 Reorder the terms: 11 + 18x = 40 + x Solving 11 + 18x = 40 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 11 + 18x + -1x = 40 + x + -1x Combine like terms: 18x + -1x = 17x 11 + 17x = 40 + x + -1x Combine like terms: x + -1x = 0 11 + 17x = 40 + 0 11 + 17x = 40 Add '-11' to each side of the equation. 11 + -11 + 17x = 40 + -11 Combine like terms: 11 + -11 = 0 0 + 17x = 40 + -11 17x = 40 + -11 Combine like terms: 40 + -11 = 29 17x = 29 Divide each side by '17'. x = 1.705882353 Simplifying x = 1.705882353
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