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Simplifying 6(x + 5) = 4(3x + -15) Reorder the terms: 6(5 + x) = 4(3x + -15) (5 * 6 + x * 6) = 4(3x + -15) (30 + 6x) = 4(3x + -15) Reorder the terms: 30 + 6x = 4(-15 + 3x) 30 + 6x = (-15 * 4 + 3x * 4) 30 + 6x = (-60 + 12x) Solving 30 + 6x = -60 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 30 + 6x + -12x = -60 + 12x + -12x Combine like terms: 6x + -12x = -6x 30 + -6x = -60 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -6x = -60 + 0 30 + -6x = -60 Add '-30' to each side of the equation. 30 + -30 + -6x = -60 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = -60 + -30 -6x = -60 + -30 Combine like terms: -60 + -30 = -90 -6x = -90 Divide each side by '-6'. x = 15 Simplifying x = 15
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