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Simplifying 6 + 4(3x + -6) = 8 + -4(2x + 1) Reorder the terms: 6 + 4(-6 + 3x) = 8 + -4(2x + 1) 6 + (-6 * 4 + 3x * 4) = 8 + -4(2x + 1) 6 + (-24 + 12x) = 8 + -4(2x + 1) Combine like terms: 6 + -24 = -18 -18 + 12x = 8 + -4(2x + 1) Reorder the terms: -18 + 12x = 8 + -4(1 + 2x) -18 + 12x = 8 + (1 * -4 + 2x * -4) -18 + 12x = 8 + (-4 + -8x) Combine like terms: 8 + -4 = 4 -18 + 12x = 4 + -8x Solving -18 + 12x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -18 + 12x + 8x = 4 + -8x + 8x Combine like terms: 12x + 8x = 20x -18 + 20x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + 20x = 4 + 0 -18 + 20x = 4 Add '18' to each side of the equation. -18 + 18 + 20x = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 20x = 4 + 18 20x = 4 + 18 Combine like terms: 4 + 18 = 22 20x = 22 Divide each side by '20'. x = 1.1 Simplifying x = 1.1
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