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Simplifying 3(6x + -2) = 4(5x + 8) Reorder the terms: 3(-2 + 6x) = 4(5x + 8) (-2 * 3 + 6x * 3) = 4(5x + 8) (-6 + 18x) = 4(5x + 8) Reorder the terms: -6 + 18x = 4(8 + 5x) -6 + 18x = (8 * 4 + 5x * 4) -6 + 18x = (32 + 20x) Solving -6 + 18x = 32 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -6 + 18x + -20x = 32 + 20x + -20x Combine like terms: 18x + -20x = -2x -6 + -2x = 32 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + -2x = 32 + 0 -6 + -2x = 32 Add '6' to each side of the equation. -6 + 6 + -2x = 32 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 32 + 6 -2x = 32 + 6 Combine like terms: 32 + 6 = 38 -2x = 38 Divide each side by '-2'. x = -19 Simplifying x = -19
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