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Simplifying 4x + 2 = 4(2x + 4) + -6 Reorder the terms: 2 + 4x = 4(2x + 4) + -6 Reorder the terms: 2 + 4x = 4(4 + 2x) + -6 2 + 4x = (4 * 4 + 2x * 4) + -6 2 + 4x = (16 + 8x) + -6 Reorder the terms: 2 + 4x = 16 + -6 + 8x Combine like terms: 16 + -6 = 10 2 + 4x = 10 + 8x Solving 2 + 4x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 4x + -8x = 10 + 8x + -8x Combine like terms: 4x + -8x = -4x 2 + -4x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -4x = 10 + 0 2 + -4x = 10 Add '-2' to each side of the equation. 2 + -2 + -4x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 10 + -2 -4x = 10 + -2 Combine like terms: 10 + -2 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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