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Simplifying 6x + 30 = 15x + 3(2x + -5) Reorder the terms: 30 + 6x = 15x + 3(2x + -5) Reorder the terms: 30 + 6x = 15x + 3(-5 + 2x) 30 + 6x = 15x + (-5 * 3 + 2x * 3) 30 + 6x = 15x + (-15 + 6x) Reorder the terms: 30 + 6x = -15 + 15x + 6x Combine like terms: 15x + 6x = 21x 30 + 6x = -15 + 21x Solving 30 + 6x = -15 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 30 + 6x + -21x = -15 + 21x + -21x Combine like terms: 6x + -21x = -15x 30 + -15x = -15 + 21x + -21x Combine like terms: 21x + -21x = 0 30 + -15x = -15 + 0 30 + -15x = -15 Add '-30' to each side of the equation. 30 + -30 + -15x = -15 + -30 Combine like terms: 30 + -30 = 0 0 + -15x = -15 + -30 -15x = -15 + -30 Combine like terms: -15 + -30 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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