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Simplifying 7(3x + -5) = 2(x + 5) + -10 Reorder the terms: 7(-5 + 3x) = 2(x + 5) + -10 (-5 * 7 + 3x * 7) = 2(x + 5) + -10 (-35 + 21x) = 2(x + 5) + -10 Reorder the terms: -35 + 21x = 2(5 + x) + -10 -35 + 21x = (5 * 2 + x * 2) + -10 -35 + 21x = (10 + 2x) + -10 Reorder the terms: -35 + 21x = 10 + -10 + 2x Combine like terms: 10 + -10 = 0 -35 + 21x = 0 + 2x -35 + 21x = 2x Solving -35 + 21x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -35 + 21x + -2x = 2x + -2x Combine like terms: 21x + -2x = 19x -35 + 19x = 2x + -2x Combine like terms: 2x + -2x = 0 -35 + 19x = 0 Add '35' to each side of the equation. -35 + 35 + 19x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 19x = 0 + 35 19x = 0 + 35 Combine like terms: 0 + 35 = 35 19x = 35 Divide each side by '19'. x = 1.842105263 Simplifying x = 1.842105263
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