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Simplifying 4(2x + 3) = 6(9 + -1x) Reorder the terms: 4(3 + 2x) = 6(9 + -1x) (3 * 4 + 2x * 4) = 6(9 + -1x) (12 + 8x) = 6(9 + -1x) 12 + 8x = (9 * 6 + -1x * 6) 12 + 8x = (54 + -6x) Solving 12 + 8x = 54 + -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. 12 + 8x + 6x = 54 + -6x + 6x Combine like terms: 8x + 6x = 14x 12 + 14x = 54 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 14x = 54 + 0 12 + 14x = 54 Add '-12' to each side of the equation. 12 + -12 + 14x = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 54 + -12 14x = 54 + -12 Combine like terms: 54 + -12 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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