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Simplifying 6(3x + -2) = 4(5x + 1) Reorder the terms: 6(-2 + 3x) = 4(5x + 1) (-2 * 6 + 3x * 6) = 4(5x + 1) (-12 + 18x) = 4(5x + 1) Reorder the terms: -12 + 18x = 4(1 + 5x) -12 + 18x = (1 * 4 + 5x * 4) -12 + 18x = (4 + 20x) Solving -12 + 18x = 4 + 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. -12 + 18x + -20x = 4 + 20x + -20x Combine like terms: 18x + -20x = -2x -12 + -2x = 4 + 20x + -20x Combine like terms: 20x + -20x = 0 -12 + -2x = 4 + 0 -12 + -2x = 4 Add '12' to each side of the equation. -12 + 12 + -2x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 4 + 12 -2x = 4 + 12 Combine like terms: 4 + 12 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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