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Simplifying 4x + 32 = 2(1 + 5x) Reorder the terms: 32 + 4x = 2(1 + 5x) 32 + 4x = (1 * 2 + 5x * 2) 32 + 4x = (2 + 10x) Solving 32 + 4x = 2 + 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. 32 + 4x + -10x = 2 + 10x + -10x Combine like terms: 4x + -10x = -6x 32 + -6x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 32 + -6x = 2 + 0 32 + -6x = 2 Add '-32' to each side of the equation. 32 + -32 + -6x = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -6x = 2 + -32 -6x = 2 + -32 Combine like terms: 2 + -32 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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