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Simplifying 5 + -1(x + -6) = 4(3 + -2x) Reorder the terms: 5 + -1(-6 + x) = 4(3 + -2x) 5 + (-6 * -1 + x * -1) = 4(3 + -2x) 5 + (6 + -1x) = 4(3 + -2x) Combine like terms: 5 + 6 = 11 11 + -1x = 4(3 + -2x) 11 + -1x = (3 * 4 + -2x * 4) 11 + -1x = (12 + -8x) Solving 11 + -1x = 12 + -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. 11 + -1x + 8x = 12 + -8x + 8x Combine like terms: -1x + 8x = 7x 11 + 7x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 11 + 7x = 12 + 0 11 + 7x = 12 Add '-11' to each side of the equation. 11 + -11 + 7x = 12 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 12 + -11 7x = 12 + -11 Combine like terms: 12 + -11 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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