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Simplifying 5 + -1(2x + -6) = 4(3 + -1x) + -3 Reorder the terms: 5 + -1(-6 + 2x) = 4(3 + -1x) + -3 5 + (-6 * -1 + 2x * -1) = 4(3 + -1x) + -3 5 + (6 + -2x) = 4(3 + -1x) + -3 Combine like terms: 5 + 6 = 11 11 + -2x = 4(3 + -1x) + -3 11 + -2x = (3 * 4 + -1x * 4) + -3 11 + -2x = (12 + -4x) + -3 Reorder the terms: 11 + -2x = 12 + -3 + -4x Combine like terms: 12 + -3 = 9 11 + -2x = 9 + -4x Solving 11 + -2x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 11 + -2x + 4x = 9 + -4x + 4x Combine like terms: -2x + 4x = 2x 11 + 2x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 11 + 2x = 9 + 0 11 + 2x = 9 Add '-11' to each side of the equation. 11 + -11 + 2x = 9 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 9 + -11 2x = 9 + -11 Combine like terms: 9 + -11 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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