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Simplifying 4(3 + x) + -2 = 2 + -3(x + -4) (3 * 4 + x * 4) + -2 = 2 + -3(x + -4) (12 + 4x) + -2 = 2 + -3(x + -4) Reorder the terms: 12 + -2 + 4x = 2 + -3(x + -4) Combine like terms: 12 + -2 = 10 10 + 4x = 2 + -3(x + -4) Reorder the terms: 10 + 4x = 2 + -3(-4 + x) 10 + 4x = 2 + (-4 * -3 + x * -3) 10 + 4x = 2 + (12 + -3x) Combine like terms: 2 + 12 = 14 10 + 4x = 14 + -3x Solving 10 + 4x = 14 + -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. 10 + 4x + 3x = 14 + -3x + 3x Combine like terms: 4x + 3x = 7x 10 + 7x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 7x = 14 + 0 10 + 7x = 14 Add '-10' to each side of the equation. 10 + -10 + 7x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 14 + -10 7x = 14 + -10 Combine like terms: 14 + -10 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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