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Simplifying 8x + 12 = -2x + 52 Reorder the terms: 12 + 8x = -2x + 52 Reorder the terms: 12 + 8x = 52 + -2x Solving 12 + 8x = 52 + -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. 12 + 8x + 2x = 52 + -2x + 2x Combine like terms: 8x + 2x = 10x 12 + 10x = 52 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 10x = 52 + 0 12 + 10x = 52 Add '-12' to each side of the equation. 12 + -12 + 10x = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 52 + -12 10x = 52 + -12 Combine like terms: 52 + -12 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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