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Simplifying 4x + 2 + 3(x + 5) = 6(x + 5) * 5 Reorder the terms: 4x + 2 + 3(5 + x) = 6(x + 5) * 5 4x + 2 + (5 * 3 + x * 3) = 6(x + 5) * 5 4x + 2 + (15 + 3x) = 6(x + 5) * 5 Reorder the terms: 2 + 15 + 4x + 3x = 6(x + 5) * 5 Combine like terms: 2 + 15 = 17 17 + 4x + 3x = 6(x + 5) * 5 Combine like terms: 4x + 3x = 7x 17 + 7x = 6(x + 5) * 5 Reorder the terms: 17 + 7x = 6(5 + x) * 5 Reorder the terms for easier multiplication: 17 + 7x = 6 * 5(5 + x) Multiply 6 * 5 17 + 7x = 30(5 + x) 17 + 7x = (5 * 30 + x * 30) 17 + 7x = (150 + 30x) Solving 17 + 7x = 150 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 17 + 7x + -30x = 150 + 30x + -30x Combine like terms: 7x + -30x = -23x 17 + -23x = 150 + 30x + -30x Combine like terms: 30x + -30x = 0 17 + -23x = 150 + 0 17 + -23x = 150 Add '-17' to each side of the equation. 17 + -17 + -23x = 150 + -17 Combine like terms: 17 + -17 = 0 0 + -23x = 150 + -17 -23x = 150 + -17 Combine like terms: 150 + -17 = 133 -23x = 133 Divide each side by '-23'. x = -5.782608696 Simplifying x = -5.782608696
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