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Simplifying 3(7x + 1) + -10 = -5(2x + -8) Reorder the terms: 3(1 + 7x) + -10 = -5(2x + -8) (1 * 3 + 7x * 3) + -10 = -5(2x + -8) (3 + 21x) + -10 = -5(2x + -8) Reorder the terms: 3 + -10 + 21x = -5(2x + -8) Combine like terms: 3 + -10 = -7 -7 + 21x = -5(2x + -8) Reorder the terms: -7 + 21x = -5(-8 + 2x) -7 + 21x = (-8 * -5 + 2x * -5) -7 + 21x = (40 + -10x) Solving -7 + 21x = 40 + -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. -7 + 21x + 10x = 40 + -10x + 10x Combine like terms: 21x + 10x = 31x -7 + 31x = 40 + -10x + 10x Combine like terms: -10x + 10x = 0 -7 + 31x = 40 + 0 -7 + 31x = 40 Add '7' to each side of the equation. -7 + 7 + 31x = 40 + 7 Combine like terms: -7 + 7 = 0 0 + 31x = 40 + 7 31x = 40 + 7 Combine like terms: 40 + 7 = 47 31x = 47 Divide each side by '31'. x = 1.516129032 Simplifying x = 1.516129032
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