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Simplifying 4(7x + 2) = 38(1 + x) Reorder the terms: 4(2 + 7x) = 38(1 + x) (2 * 4 + 7x * 4) = 38(1 + x) (8 + 28x) = 38(1 + x) 8 + 28x = (1 * 38 + x * 38) 8 + 28x = (38 + 38x) Solving 8 + 28x = 38 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 8 + 28x + -38x = 38 + 38x + -38x Combine like terms: 28x + -38x = -10x 8 + -10x = 38 + 38x + -38x Combine like terms: 38x + -38x = 0 8 + -10x = 38 + 0 8 + -10x = 38 Add '-8' to each side of the equation. 8 + -8 + -10x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 38 + -8 -10x = 38 + -8 Combine like terms: 38 + -8 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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