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Simplifying 5(x + 3) = 6(2x + -5) Reorder the terms: 5(3 + x) = 6(2x + -5) (3 * 5 + x * 5) = 6(2x + -5) (15 + 5x) = 6(2x + -5) Reorder the terms: 15 + 5x = 6(-5 + 2x) 15 + 5x = (-5 * 6 + 2x * 6) 15 + 5x = (-30 + 12x) Solving 15 + 5x = -30 + 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. 15 + 5x + -12x = -30 + 12x + -12x Combine like terms: 5x + -12x = -7x 15 + -7x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -7x = -30 + 0 15 + -7x = -30 Add '-15' to each side of the equation. 15 + -15 + -7x = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = -30 + -15 -7x = -30 + -15 Combine like terms: -30 + -15 = -45 -7x = -45 Divide each side by '-7'. x = 6.428571429 Simplifying x = 6.428571429
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