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Simplifying 15(x + 5) = 30 + -6(x + 4) Reorder the terms: 15(5 + x) = 30 + -6(x + 4) (5 * 15 + x * 15) = 30 + -6(x + 4) (75 + 15x) = 30 + -6(x + 4) Reorder the terms: 75 + 15x = 30 + -6(4 + x) 75 + 15x = 30 + (4 * -6 + x * -6) 75 + 15x = 30 + (-24 + -6x) Combine like terms: 30 + -24 = 6 75 + 15x = 6 + -6x Solving 75 + 15x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 75 + 15x + 6x = 6 + -6x + 6x Combine like terms: 15x + 6x = 21x 75 + 21x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 75 + 21x = 6 + 0 75 + 21x = 6 Add '-75' to each side of the equation. 75 + -75 + 21x = 6 + -75 Combine like terms: 75 + -75 = 0 0 + 21x = 6 + -75 21x = 6 + -75 Combine like terms: 6 + -75 = -69 21x = -69 Divide each side by '21'. x = -3.285714286 Simplifying x = -3.285714286
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