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Simplifying 5(3x + -2) = 4 + -6x Reorder the terms: 5(-2 + 3x) = 4 + -6x (-2 * 5 + 3x * 5) = 4 + -6x (-10 + 15x) = 4 + -6x Solving -10 + 15x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + 15x + 6x = 4 + -6x + 6x Combine like terms: 15x + 6x = 21x -10 + 21x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 21x = 4 + 0 -10 + 21x = 4 Add '10' to each side of the equation. -10 + 10 + 21x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 21x = 4 + 10 21x = 4 + 10 Combine like terms: 4 + 10 = 14 21x = 14 Divide each side by '21'. x = 0.6666666667 Simplifying x = 0.6666666667
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