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Simplifying 5(3 + -2x) = (4x + 1) (3 * 5 + -2x * 5) = (4x + 1) (15 + -10x) = (4x + 1) Reorder the terms: 15 + -10x = (1 + 4x) Remove parenthesis around (1 + 4x) 15 + -10x = 1 + 4x Solving 15 + -10x = 1 + 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. 15 + -10x + -4x = 1 + 4x + -4x Combine like terms: -10x + -4x = -14x 15 + -14x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -14x = 1 + 0 15 + -14x = 1 Add '-15' to each side of the equation. 15 + -15 + -14x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = 1 + -15 -14x = 1 + -15 Combine like terms: 1 + -15 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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