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Simplifying 6(1 + -3x) + 2 = 28 + -8x (1 * 6 + -3x * 6) + 2 = 28 + -8x (6 + -18x) + 2 = 28 + -8x Reorder the terms: 6 + 2 + -18x = 28 + -8x Combine like terms: 6 + 2 = 8 8 + -18x = 28 + -8x Solving 8 + -18x = 28 + -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. 8 + -18x + 8x = 28 + -8x + 8x Combine like terms: -18x + 8x = -10x 8 + -10x = 28 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + -10x = 28 + 0 8 + -10x = 28 Add '-8' to each side of the equation. 8 + -8 + -10x = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 28 + -8 -10x = 28 + -8 Combine like terms: 28 + -8 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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