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Simplifying 4x + 2 + 3(x + 5) * 3 = 6(x + 5) * 5 Reorder the terms: 4x + 2 + 3(5 + x) * 3 = 6(x + 5) * 5 Reorder the terms for easier multiplication: 4x + 2 + 3 * 3(5 + x) = 6(x + 5) * 5 Multiply 3 * 3 4x + 2 + 9(5 + x) = 6(x + 5) * 5 4x + 2 + (5 * 9 + x * 9) = 6(x + 5) * 5 4x + 2 + (45 + 9x) = 6(x + 5) * 5 Reorder the terms: 2 + 45 + 4x + 9x = 6(x + 5) * 5 Combine like terms: 2 + 45 = 47 47 + 4x + 9x = 6(x + 5) * 5 Combine like terms: 4x + 9x = 13x 47 + 13x = 6(x + 5) * 5 Reorder the terms: 47 + 13x = 6(5 + x) * 5 Reorder the terms for easier multiplication: 47 + 13x = 6 * 5(5 + x) Multiply 6 * 5 47 + 13x = 30(5 + x) 47 + 13x = (5 * 30 + x * 30) 47 + 13x = (150 + 30x) Solving 47 + 13x = 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. 47 + 13x + -30x = 150 + 30x + -30x Combine like terms: 13x + -30x = -17x 47 + -17x = 150 + 30x + -30x Combine like terms: 30x + -30x = 0 47 + -17x = 150 + 0 47 + -17x = 150 Add '-47' to each side of the equation. 47 + -47 + -17x = 150 + -47 Combine like terms: 47 + -47 = 0 0 + -17x = 150 + -47 -17x = 150 + -47 Combine like terms: 150 + -47 = 103 -17x = 103 Divide each side by '-17'. x = -6.058823529 Simplifying x = -6.058823529
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