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Simplifying 4(4x + 2) = 20 + -2(x + -3) Reorder the terms: 4(2 + 4x) = 20 + -2(x + -3) (2 * 4 + 4x * 4) = 20 + -2(x + -3) (8 + 16x) = 20 + -2(x + -3) Reorder the terms: 8 + 16x = 20 + -2(-3 + x) 8 + 16x = 20 + (-3 * -2 + x * -2) 8 + 16x = 20 + (6 + -2x) Combine like terms: 20 + 6 = 26 8 + 16x = 26 + -2x Solving 8 + 16x = 26 + -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. 8 + 16x + 2x = 26 + -2x + 2x Combine like terms: 16x + 2x = 18x 8 + 18x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 18x = 26 + 0 8 + 18x = 26 Add '-8' to each side of the equation. 8 + -8 + 18x = 26 + -8 Combine like terms: 8 + -8 = 0 0 + 18x = 26 + -8 18x = 26 + -8 Combine like terms: 26 + -8 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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