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Simplifying 5x + 3(2x + -5) = 3 + -7x Reorder the terms: 5x + 3(-5 + 2x) = 3 + -7x 5x + (-5 * 3 + 2x * 3) = 3 + -7x 5x + (-15 + 6x) = 3 + -7x Reorder the terms: -15 + 5x + 6x = 3 + -7x Combine like terms: 5x + 6x = 11x -15 + 11x = 3 + -7x Solving -15 + 11x = 3 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -15 + 11x + 7x = 3 + -7x + 7x Combine like terms: 11x + 7x = 18x -15 + 18x = 3 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + 18x = 3 + 0 -15 + 18x = 3 Add '15' to each side of the equation. -15 + 15 + 18x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 18x = 3 + 15 18x = 3 + 15 Combine like terms: 3 + 15 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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