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Simplifying 52 = 6x + 2(-5x + 8) Reorder the terms: 52 = 6x + 2(8 + -5x) 52 = 6x + (8 * 2 + -5x * 2) 52 = 6x + (16 + -10x) Reorder the terms: 52 = 16 + 6x + -10x Combine like terms: 6x + -10x = -4x 52 = 16 + -4x Solving 52 = 16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 52 + 4x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 52 + 4x = 16 + 0 52 + 4x = 16 Add '-52' to each side of the equation. 52 + -52 + 4x = 16 + -52 Combine like terms: 52 + -52 = 0 0 + 4x = 16 + -52 4x = 16 + -52 Combine like terms: 16 + -52 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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