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Simplifying 4x + 3x + -2x = 5 + -5(x + 3) Combine like terms: 4x + 3x = 7x 7x + -2x = 5 + -5(x + 3) Combine like terms: 7x + -2x = 5x 5x = 5 + -5(x + 3) Reorder the terms: 5x = 5 + -5(3 + x) 5x = 5 + (3 * -5 + x * -5) 5x = 5 + (-15 + -5x) Combine like terms: 5 + -15 = -10 5x = -10 + -5x Solving 5x = -10 + -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. 5x + 5x = -10 + -5x + 5x Combine like terms: 5x + 5x = 10x 10x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 10x = -10 + 0 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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