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Simplifying 5(4x + 2) = 10 + -1(x + 3) Reorder the terms: 5(2 + 4x) = 10 + -1(x + 3) (2 * 5 + 4x * 5) = 10 + -1(x + 3) (10 + 20x) = 10 + -1(x + 3) Reorder the terms: 10 + 20x = 10 + -1(3 + x) 10 + 20x = 10 + (3 * -1 + x * -1) 10 + 20x = 10 + (-3 + -1x) Combine like terms: 10 + -3 = 7 10 + 20x = 7 + -1x Solving 10 + 20x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 20x + x = 7 + -1x + x Combine like terms: 20x + x = 21x 10 + 21x = 7 + -1x + x Combine like terms: -1x + x = 0 10 + 21x = 7 + 0 10 + 21x = 7 Add '-10' to each side of the equation. 10 + -10 + 21x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 21x = 7 + -10 21x = 7 + -10 Combine like terms: 7 + -10 = -3 21x = -3 Divide each side by '21'. x = -0.1428571429 Simplifying x = -0.1428571429
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