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Simplifying 4(x + 25) = 10(x + 4) Reorder the terms: 4(25 + x) = 10(x + 4) (25 * 4 + x * 4) = 10(x + 4) (100 + 4x) = 10(x + 4) Reorder the terms: 100 + 4x = 10(4 + x) 100 + 4x = (4 * 10 + x * 10) 100 + 4x = (40 + 10x) Solving 100 + 4x = 40 + 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. 100 + 4x + -10x = 40 + 10x + -10x Combine like terms: 4x + -10x = -6x 100 + -6x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -6x = 40 + 0 100 + -6x = 40 Add '-100' to each side of the equation. 100 + -100 + -6x = 40 + -100 Combine like terms: 100 + -100 = 0 0 + -6x = 40 + -100 -6x = 40 + -100 Combine like terms: 40 + -100 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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