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Simplifying 10(x + 4) = 4(x + 19) Reorder the terms: 10(4 + x) = 4(x + 19) (4 * 10 + x * 10) = 4(x + 19) (40 + 10x) = 4(x + 19) Reorder the terms: 40 + 10x = 4(19 + x) 40 + 10x = (19 * 4 + x * 4) 40 + 10x = (76 + 4x) Solving 40 + 10x = 76 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 40 + 10x + -4x = 76 + 4x + -4x Combine like terms: 10x + -4x = 6x 40 + 6x = 76 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + 6x = 76 + 0 40 + 6x = 76 Add '-40' to each side of the equation. 40 + -40 + 6x = 76 + -40 Combine like terms: 40 + -40 = 0 0 + 6x = 76 + -40 6x = 76 + -40 Combine like terms: 76 + -40 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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