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Simplifying 6 = 10(x + 9) + -2x Reorder the terms: 6 = 10(9 + x) + -2x 6 = (9 * 10 + x * 10) + -2x 6 = (90 + 10x) + -2x Combine like terms: 10x + -2x = 8x 6 = 90 + 8x Solving 6 = 90 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + -8x = 90 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -8x = 90 + 0 6 + -8x = 90 Add '-6' to each side of the equation. 6 + -6 + -8x = 90 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 90 + -6 -8x = 90 + -6 Combine like terms: 90 + -6 = 84 -8x = 84 Divide each side by '-8'. x = -10.5 Simplifying x = -10.5
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