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Simplifying 6(2x + -3) = 2 + -7(3 + -1x) Reorder the terms: 6(-3 + 2x) = 2 + -7(3 + -1x) (-3 * 6 + 2x * 6) = 2 + -7(3 + -1x) (-18 + 12x) = 2 + -7(3 + -1x) -18 + 12x = 2 + (3 * -7 + -1x * -7) -18 + 12x = 2 + (-21 + 7x) Combine like terms: 2 + -21 = -19 -18 + 12x = -19 + 7x Solving -18 + 12x = -19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 12x + -7x = -19 + 7x + -7x Combine like terms: 12x + -7x = 5x -18 + 5x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 5x = -19 + 0 -18 + 5x = -19 Add '18' to each side of the equation. -18 + 18 + 5x = -19 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = -19 + 18 5x = -19 + 18 Combine like terms: -19 + 18 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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