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Simplifying 4x + 2 = 2(3x + -4) Reorder the terms: 2 + 4x = 2(3x + -4) Reorder the terms: 2 + 4x = 2(-4 + 3x) 2 + 4x = (-4 * 2 + 3x * 2) 2 + 4x = (-8 + 6x) Solving 2 + 4x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 4x + -6x = -8 + 6x + -6x Combine like terms: 4x + -6x = -2x 2 + -2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -2x = -8 + 0 2 + -2x = -8 Add '-2' to each side of the equation. 2 + -2 + -2x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -8 + -2 -2x = -8 + -2 Combine like terms: -8 + -2 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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