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Simplifying 3x + 5 = -4(x + -6) Reorder the terms: 5 + 3x = -4(x + -6) Reorder the terms: 5 + 3x = -4(-6 + x) 5 + 3x = (-6 * -4 + x * -4) 5 + 3x = (24 + -4x) Solving 5 + 3x = 24 + -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. 5 + 3x + 4x = 24 + -4x + 4x Combine like terms: 3x + 4x = 7x 5 + 7x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 7x = 24 + 0 5 + 7x = 24 Add '-5' to each side of the equation. 5 + -5 + 7x = 24 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 24 + -5 7x = 24 + -5 Combine like terms: 24 + -5 = 19 7x = 19 Divide each side by '7'. x = 2.714285714 Simplifying x = 2.714285714
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