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Simplifying 4x + 2 = 3 + -2(x + 4) Reorder the terms: 2 + 4x = 3 + -2(x + 4) Reorder the terms: 2 + 4x = 3 + -2(4 + x) 2 + 4x = 3 + (4 * -2 + x * -2) 2 + 4x = 3 + (-8 + -2x) Combine like terms: 3 + -8 = -5 2 + 4x = -5 + -2x Solving 2 + 4x = -5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 4x + 2x = -5 + -2x + 2x Combine like terms: 4x + 2x = 6x 2 + 6x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 6x = -5 + 0 2 + 6x = -5 Add '-2' to each side of the equation. 2 + -2 + 6x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -5 + -2 6x = -5 + -2 Combine like terms: -5 + -2 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667
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