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Simplifying 4x + 2 = 12 + -3(x + -6) Reorder the terms: 2 + 4x = 12 + -3(x + -6) Reorder the terms: 2 + 4x = 12 + -3(-6 + x) 2 + 4x = 12 + (-6 * -3 + x * -3) 2 + 4x = 12 + (18 + -3x) Combine like terms: 12 + 18 = 30 2 + 4x = 30 + -3x Solving 2 + 4x = 30 + -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. 2 + 4x + 3x = 30 + -3x + 3x Combine like terms: 4x + 3x = 7x 2 + 7x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 7x = 30 + 0 2 + 7x = 30 Add '-2' to each side of the equation. 2 + -2 + 7x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 30 + -2 7x = 30 + -2 Combine like terms: 30 + -2 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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