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Simplifying 8(1x + 10) = 9(2x + 7) Reorder the terms: 8(10 + 1x) = 9(2x + 7) (10 * 8 + 1x * 8) = 9(2x + 7) (80 + 8x) = 9(2x + 7) Reorder the terms: 80 + 8x = 9(7 + 2x) 80 + 8x = (7 * 9 + 2x * 9) 80 + 8x = (63 + 18x) Solving 80 + 8x = 63 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 80 + 8x + -18x = 63 + 18x + -18x Combine like terms: 8x + -18x = -10x 80 + -10x = 63 + 18x + -18x Combine like terms: 18x + -18x = 0 80 + -10x = 63 + 0 80 + -10x = 63 Add '-80' to each side of the equation. 80 + -80 + -10x = 63 + -80 Combine like terms: 80 + -80 = 0 0 + -10x = 63 + -80 -10x = 63 + -80 Combine like terms: 63 + -80 = -17 -10x = -17 Divide each side by '-10'. x = 1.7 Simplifying x = 1.7
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