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Simplifying 3(8x + -6) = 2(x + 2) + -6 Reorder the terms: 3(-6 + 8x) = 2(x + 2) + -6 (-6 * 3 + 8x * 3) = 2(x + 2) + -6 (-18 + 24x) = 2(x + 2) + -6 Reorder the terms: -18 + 24x = 2(2 + x) + -6 -18 + 24x = (2 * 2 + x * 2) + -6 -18 + 24x = (4 + 2x) + -6 Reorder the terms: -18 + 24x = 4 + -6 + 2x Combine like terms: 4 + -6 = -2 -18 + 24x = -2 + 2x Solving -18 + 24x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 24x + -2x = -2 + 2x + -2x Combine like terms: 24x + -2x = 22x -18 + 22x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 22x = -2 + 0 -18 + 22x = -2 Add '18' to each side of the equation. -18 + 18 + 22x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 22x = -2 + 18 22x = -2 + 18 Combine like terms: -2 + 18 = 16 22x = 16 Divide each side by '22'. x = 0.7272727273 Simplifying x = 0.7272727273
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