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Simplifying 4x + 3(2x + 5) = -5(x + 3) Reorder the terms: 4x + 3(5 + 2x) = -5(x + 3) 4x + (5 * 3 + 2x * 3) = -5(x + 3) 4x + (15 + 6x) = -5(x + 3) Reorder the terms: 15 + 4x + 6x = -5(x + 3) Combine like terms: 4x + 6x = 10x 15 + 10x = -5(x + 3) Reorder the terms: 15 + 10x = -5(3 + x) 15 + 10x = (3 * -5 + x * -5) 15 + 10x = (-15 + -5x) Solving 15 + 10x = -15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 15 + 10x + 5x = -15 + -5x + 5x Combine like terms: 10x + 5x = 15x 15 + 15x = -15 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 15x = -15 + 0 15 + 15x = -15 Add '-15' to each side of the equation. 15 + -15 + 15x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 15x = -15 + -15 15x = -15 + -15 Combine like terms: -15 + -15 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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