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Simplifying 4(2x + 4) = 10x + 1 Reorder the terms: 4(4 + 2x) = 10x + 1 (4 * 4 + 2x * 4) = 10x + 1 (16 + 8x) = 10x + 1 Reorder the terms: 16 + 8x = 1 + 10x Solving 16 + 8x = 1 + 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. 16 + 8x + -10x = 1 + 10x + -10x Combine like terms: 8x + -10x = -2x 16 + -2x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 16 + -2x = 1 + 0 16 + -2x = 1 Add '-16' to each side of the equation. 16 + -16 + -2x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 1 + -16 -2x = 1 + -16 Combine like terms: 1 + -16 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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