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Simplifying 8 + 9x + 4(11 + -2x) = 6x + 52 8 + 9x + (11 * 4 + -2x * 4) = 6x + 52 8 + 9x + (44 + -8x) = 6x + 52 Reorder the terms: 8 + 44 + 9x + -8x = 6x + 52 Combine like terms: 8 + 44 = 52 52 + 9x + -8x = 6x + 52 Combine like terms: 9x + -8x = 1x 52 + 1x = 6x + 52 Reorder the terms: 52 + 1x = 52 + 6x Add '-52' to each side of the equation. 52 + -52 + 1x = 52 + -52 + 6x Combine like terms: 52 + -52 = 0 0 + 1x = 52 + -52 + 6x 1x = 52 + -52 + 6x Combine like terms: 52 + -52 = 0 1x = 0 + 6x 1x = 6x Solving 1x = 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. 1x + -6x = 6x + -6x Combine like terms: 1x + -6x = -5x -5x = 6x + -6x Combine like terms: 6x + -6x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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