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Simplifying 4x + 2 = 20 + 8x + 6 + -2x + 36 Reorder the terms: 2 + 4x = 20 + 8x + 6 + -2x + 36 Reorder the terms: 2 + 4x = 20 + 6 + 36 + 8x + -2x Combine like terms: 20 + 6 = 26 2 + 4x = 26 + 36 + 8x + -2x Combine like terms: 26 + 36 = 62 2 + 4x = 62 + 8x + -2x Combine like terms: 8x + -2x = 6x 2 + 4x = 62 + 6x Solving 2 + 4x = 62 + 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 = 62 + 6x + -6x Combine like terms: 4x + -6x = -2x 2 + -2x = 62 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -2x = 62 + 0 2 + -2x = 62 Add '-2' to each side of the equation. 2 + -2 + -2x = 62 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 62 + -2 -2x = 62 + -2 Combine like terms: 62 + -2 = 60 -2x = 60 Divide each side by '-2'. x = -30 Simplifying x = -30
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