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Simplifying 3(7x + -5) + 5 = 10x + -5 Reorder the terms: 3(-5 + 7x) + 5 = 10x + -5 (-5 * 3 + 7x * 3) + 5 = 10x + -5 (-15 + 21x) + 5 = 10x + -5 Reorder the terms: -15 + 5 + 21x = 10x + -5 Combine like terms: -15 + 5 = -10 -10 + 21x = 10x + -5 Reorder the terms: -10 + 21x = -5 + 10x Solving -10 + 21x = -5 + 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. -10 + 21x + -10x = -5 + 10x + -10x Combine like terms: 21x + -10x = 11x -10 + 11x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + 11x = -5 + 0 -10 + 11x = -5 Add '10' to each side of the equation. -10 + 10 + 11x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = -5 + 10 11x = -5 + 10 Combine like terms: -5 + 10 = 5 11x = 5 Divide each side by '11'. x = 0.4545454545 Simplifying x = 0.4545454545
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