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Simplifying 4(x + 5) = 6 + -3x Reorder the terms: 4(5 + x) = 6 + -3x (5 * 4 + x * 4) = 6 + -3x (20 + 4x) = 6 + -3x Solving 20 + 4x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 20 + 4x + 3x = 6 + -3x + 3x Combine like terms: 4x + 3x = 7x 20 + 7x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + 7x = 6 + 0 20 + 7x = 6 Add '-20' to each side of the equation. 20 + -20 + 7x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = 6 + -20 7x = 6 + -20 Combine like terms: 6 + -20 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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