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Simplifying 5 + -1(3x + -6) = 4(x + 3) + -5 Reorder the terms: 5 + -1(-6 + 3x) = 4(x + 3) + -5 5 + (-6 * -1 + 3x * -1) = 4(x + 3) + -5 5 + (6 + -3x) = 4(x + 3) + -5 Combine like terms: 5 + 6 = 11 11 + -3x = 4(x + 3) + -5 Reorder the terms: 11 + -3x = 4(3 + x) + -5 11 + -3x = (3 * 4 + x * 4) + -5 11 + -3x = (12 + 4x) + -5 Reorder the terms: 11 + -3x = 12 + -5 + 4x Combine like terms: 12 + -5 = 7 11 + -3x = 7 + 4x Solving 11 + -3x = 7 + 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 + -3x + -4x = 7 + 4x + -4x Combine like terms: -3x + -4x = -7x 11 + -7x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + -7x = 7 + 0 11 + -7x = 7 Add '-11' to each side of the equation. 11 + -11 + -7x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -7x = 7 + -11 -7x = 7 + -11 Combine like terms: 7 + -11 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714
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