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Simplifying 6(3x + -1) = 4(4x + 2) Reorder the terms: 6(-1 + 3x) = 4(4x + 2) (-1 * 6 + 3x * 6) = 4(4x + 2) (-6 + 18x) = 4(4x + 2) Reorder the terms: -6 + 18x = 4(2 + 4x) -6 + 18x = (2 * 4 + 4x * 4) -6 + 18x = (8 + 16x) Solving -6 + 18x = 8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -6 + 18x + -16x = 8 + 16x + -16x Combine like terms: 18x + -16x = 2x -6 + 2x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 -6 + 2x = 8 + 0 -6 + 2x = 8 Add '6' to each side of the equation. -6 + 6 + 2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 8 + 6 2x = 8 + 6 Combine like terms: 8 + 6 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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