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Simplifying 5(3x + 6) = 6(x + -10) Reorder the terms: 5(6 + 3x) = 6(x + -10) (6 * 5 + 3x * 5) = 6(x + -10) (30 + 15x) = 6(x + -10) Reorder the terms: 30 + 15x = 6(-10 + x) 30 + 15x = (-10 * 6 + x * 6) 30 + 15x = (-60 + 6x) Solving 30 + 15x = -60 + 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. 30 + 15x + -6x = -60 + 6x + -6x Combine like terms: 15x + -6x = 9x 30 + 9x = -60 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 9x = -60 + 0 30 + 9x = -60 Add '-30' to each side of the equation. 30 + -30 + 9x = -60 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = -60 + -30 9x = -60 + -30 Combine like terms: -60 + -30 = -90 9x = -90 Divide each side by '9'. x = -10 Simplifying x = -10
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