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Simplifying 4x + 15 = -5(2x + 6) Reorder the terms: 15 + 4x = -5(2x + 6) Reorder the terms: 15 + 4x = -5(6 + 2x) 15 + 4x = (6 * -5 + 2x * -5) 15 + 4x = (-30 + -10x) Solving 15 + 4x = -30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 15 + 4x + 10x = -30 + -10x + 10x Combine like terms: 4x + 10x = 14x 15 + 14x = -30 + -10x + 10x Combine like terms: -10x + 10x = 0 15 + 14x = -30 + 0 15 + 14x = -30 Add '-15' to each side of the equation. 15 + -15 + 14x = -30 + -15 Combine like terms: 15 + -15 = 0 0 + 14x = -30 + -15 14x = -30 + -15 Combine like terms: -30 + -15 = -45 14x = -45 Divide each side by '14'. x = -3.214285714 Simplifying x = -3.214285714
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