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Simplifying 6(x + 3) = 5x(4) + -3(4) Reorder the terms: 6(3 + x) = 5x(4) + -3(4) (3 * 6 + x * 6) = 5x(4) + -3(4) (18 + 6x) = 5x(4) + -3(4) Reorder the terms for easier multiplication: 18 + 6x = 5 * 4x + -3(4) Multiply 5 * 4 18 + 6x = 20x + -3(4) Multiply -3 * 4 18 + 6x = 20x + -12 Reorder the terms: 18 + 6x = -12 + 20x Solving 18 + 6x = -12 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 18 + 6x + -20x = -12 + 20x + -20x Combine like terms: 6x + -20x = -14x 18 + -14x = -12 + 20x + -20x Combine like terms: 20x + -20x = 0 18 + -14x = -12 + 0 18 + -14x = -12 Add '-18' to each side of the equation. 18 + -18 + -14x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -14x = -12 + -18 -14x = -12 + -18 Combine like terms: -12 + -18 = -30 -14x = -30 Divide each side by '-14'. x = 2.142857143 Simplifying x = 2.142857143
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