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Simplifying 4 + 3(4x + -6) = 8 + -3(2x + 1) Reorder the terms: 4 + 3(-6 + 4x) = 8 + -3(2x + 1) 4 + (-6 * 3 + 4x * 3) = 8 + -3(2x + 1) 4 + (-18 + 12x) = 8 + -3(2x + 1) Combine like terms: 4 + -18 = -14 -14 + 12x = 8 + -3(2x + 1) Reorder the terms: -14 + 12x = 8 + -3(1 + 2x) -14 + 12x = 8 + (1 * -3 + 2x * -3) -14 + 12x = 8 + (-3 + -6x) Combine like terms: 8 + -3 = 5 -14 + 12x = 5 + -6x Solving -14 + 12x = 5 + -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. -14 + 12x + 6x = 5 + -6x + 6x Combine like terms: 12x + 6x = 18x -14 + 18x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -14 + 18x = 5 + 0 -14 + 18x = 5 Add '14' to each side of the equation. -14 + 14 + 18x = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 18x = 5 + 14 18x = 5 + 14 Combine like terms: 5 + 14 = 19 18x = 19 Divide each side by '18'. x = 1.055555556 Simplifying x = 1.055555556
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