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Simplifying 6(2x + -3) + -2 = -7 + -1x Reorder the terms: 6(-3 + 2x) + -2 = -7 + -1x (-3 * 6 + 2x * 6) + -2 = -7 + -1x (-18 + 12x) + -2 = -7 + -1x Reorder the terms: -18 + -2 + 12x = -7 + -1x Combine like terms: -18 + -2 = -20 -20 + 12x = -7 + -1x Solving -20 + 12x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -20 + 12x + x = -7 + -1x + x Combine like terms: 12x + x = 13x -20 + 13x = -7 + -1x + x Combine like terms: -1x + x = 0 -20 + 13x = -7 + 0 -20 + 13x = -7 Add '20' to each side of the equation. -20 + 20 + 13x = -7 + 20 Combine like terms: -20 + 20 = 0 0 + 13x = -7 + 20 13x = -7 + 20 Combine like terms: -7 + 20 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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