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Simplifying 4 + -3(x + -6) = 5(8 + -1x) Reorder the terms: 4 + -3(-6 + x) = 5(8 + -1x) 4 + (-6 * -3 + x * -3) = 5(8 + -1x) 4 + (18 + -3x) = 5(8 + -1x) Combine like terms: 4 + 18 = 22 22 + -3x = 5(8 + -1x) 22 + -3x = (8 * 5 + -1x * 5) 22 + -3x = (40 + -5x) Solving 22 + -3x = 40 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 22 + -3x + 5x = 40 + -5x + 5x Combine like terms: -3x + 5x = 2x 22 + 2x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 22 + 2x = 40 + 0 22 + 2x = 40 Add '-22' to each side of the equation. 22 + -22 + 2x = 40 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 40 + -22 2x = 40 + -22 Combine like terms: 40 + -22 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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