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Simplifying 10(x + 4) = 14x Reorder the terms: 10(4 + x) = 14x (4 * 10 + x * 10) = 14x (40 + 10x) = 14x Solving 40 + 10x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 40 + 10x + -14x = 14x + -14x Combine like terms: 10x + -14x = -4x 40 + -4x = 14x + -14x Combine like terms: 14x + -14x = 0 40 + -4x = 0 Add '-40' to each side of the equation. 40 + -40 + -4x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = 0 + -40 -4x = 0 + -40 Combine like terms: 0 + -40 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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