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Simplifying 5(3 + -2x) = 3 + -4x (3 * 5 + -2x * 5) = 3 + -4x (15 + -10x) = 3 + -4x Solving 15 + -10x = 3 + -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 = 3 + -4x + 4x Combine like terms: -10x + 4x = -6x 15 + -6x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + -6x = 3 + 0 15 + -6x = 3 Add '-15' to each side of the equation. 15 + -15 + -6x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = 3 + -15 -6x = 3 + -15 Combine like terms: 3 + -15 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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