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Simplifying 5(2 + -1x) + 8 = 3(x + -6) (2 * 5 + -1x * 5) + 8 = 3(x + -6) (10 + -5x) + 8 = 3(x + -6) Reorder the terms: 10 + 8 + -5x = 3(x + -6) Combine like terms: 10 + 8 = 18 18 + -5x = 3(x + -6) Reorder the terms: 18 + -5x = 3(-6 + x) 18 + -5x = (-6 * 3 + x * 3) 18 + -5x = (-18 + 3x) Solving 18 + -5x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + -5x + -3x = -18 + 3x + -3x Combine like terms: -5x + -3x = -8x 18 + -8x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -8x = -18 + 0 18 + -8x = -18 Add '-18' to each side of the equation. 18 + -18 + -8x = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = -18 + -18 -8x = -18 + -18 Combine like terms: -18 + -18 = -36 -8x = -36 Divide each side by '-8'. x = 4.5 Simplifying x = 4.5
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