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Simplifying 6(3x + 1) = 5(2x + -2) Reorder the terms: 6(1 + 3x) = 5(2x + -2) (1 * 6 + 3x * 6) = 5(2x + -2) (6 + 18x) = 5(2x + -2) Reorder the terms: 6 + 18x = 5(-2 + 2x) 6 + 18x = (-2 * 5 + 2x * 5) 6 + 18x = (-10 + 10x) Solving 6 + 18x = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 18x + -10x = -10 + 10x + -10x Combine like terms: 18x + -10x = 8x 6 + 8x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 8x = -10 + 0 6 + 8x = -10 Add '-6' to each side of the equation. 6 + -6 + 8x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = -10 + -6 8x = -10 + -6 Combine like terms: -10 + -6 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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