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Simplifying 6(3x + 1) = 4(2x + -1) Reorder the terms: 6(1 + 3x) = 4(2x + -1) (1 * 6 + 3x * 6) = 4(2x + -1) (6 + 18x) = 4(2x + -1) Reorder the terms: 6 + 18x = 4(-1 + 2x) 6 + 18x = (-1 * 4 + 2x * 4) 6 + 18x = (-4 + 8x) Solving 6 + 18x = -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. 6 + 18x + -8x = -4 + 8x + -8x Combine like terms: 18x + -8x = 10x 6 + 10x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 10x = -4 + 0 6 + 10x = -4 Add '-6' to each side of the equation. 6 + -6 + 10x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = -4 + -6 10x = -4 + -6 Combine like terms: -4 + -6 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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