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Simplifying 2x + 36 = 6(x + 6) + -4 Reorder the terms: 36 + 2x = 6(x + 6) + -4 Reorder the terms: 36 + 2x = 6(6 + x) + -4 36 + 2x = (6 * 6 + x * 6) + -4 36 + 2x = (36 + 6x) + -4 Reorder the terms: 36 + 2x = 36 + -4 + 6x Combine like terms: 36 + -4 = 32 36 + 2x = 32 + 6x Solving 36 + 2x = 32 + 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. 36 + 2x + -6x = 32 + 6x + -6x Combine like terms: 2x + -6x = -4x 36 + -4x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -4x = 32 + 0 36 + -4x = 32 Add '-36' to each side of the equation. 36 + -36 + -4x = 32 + -36 Combine like terms: 36 + -36 = 0 0 + -4x = 32 + -36 -4x = 32 + -36 Combine like terms: 32 + -36 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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