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Simplifying 4(x + 2) = 3 + -3(x + -5) Reorder the terms: 4(2 + x) = 3 + -3(x + -5) (2 * 4 + x * 4) = 3 + -3(x + -5) (8 + 4x) = 3 + -3(x + -5) Reorder the terms: 8 + 4x = 3 + -3(-5 + x) 8 + 4x = 3 + (-5 * -3 + x * -3) 8 + 4x = 3 + (15 + -3x) Combine like terms: 3 + 15 = 18 8 + 4x = 18 + -3x Solving 8 + 4x = 18 + -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. 8 + 4x + 3x = 18 + -3x + 3x Combine like terms: 4x + 3x = 7x 8 + 7x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 7x = 18 + 0 8 + 7x = 18 Add '-8' to each side of the equation. 8 + -8 + 7x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 18 + -8 7x = 18 + -8 Combine like terms: 18 + -8 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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