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