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Simplifying 5(3x + -2) = x + 4 Reorder the terms: 5(-2 + 3x) = x + 4 (-2 * 5 + 3x * 5) = x + 4 (-10 + 15x) = x + 4 Reorder the terms: -10 + 15x = 4 + x Solving -10 + 15x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 15x + -1x = 4 + x + -1x Combine like terms: 15x + -1x = 14x -10 + 14x = 4 + x + -1x Combine like terms: x + -1x = 0 -10 + 14x = 4 + 0 -10 + 14x = 4 Add '10' to each side of the equation. -10 + 10 + 14x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 14x = 4 + 10 14x = 4 + 10 Combine like terms: 4 + 10 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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