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Simplifying 9(x + -5) + 10(x + 3) = 7th + -2 + 12x Reorder the terms: 9(-5 + x) + 10(x + 3) = 7th + -2 + 12x (-5 * 9 + x * 9) + 10(x + 3) = 7th + -2 + 12x (-45 + 9x) + 10(x + 3) = 7th + -2 + 12x Reorder the terms: -45 + 9x + 10(3 + x) = 7th + -2 + 12x -45 + 9x + (3 * 10 + x * 10) = 7th + -2 + 12x -45 + 9x + (30 + 10x) = 7th + -2 + 12x Reorder the terms: -45 + 30 + 9x + 10x = 7th + -2 + 12x Combine like terms: -45 + 30 = -15 -15 + 9x + 10x = 7th + -2 + 12x Combine like terms: 9x + 10x = 19x -15 + 19x = 7th + -2 + 12x Reorder the terms: -15 + 19x = -2 + 7ht + 12x Solving -15 + 19x = -2 + 7ht + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 19x + -12x = -2 + 7ht + 12x + -12x Combine like terms: 19x + -12x = 7x -15 + 7x = -2 + 7ht + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + 7x = -2 + 7ht + 0 -15 + 7x = -2 + 7ht Add '15' to each side of the equation. -15 + 15 + 7x = -2 + 15 + 7ht Combine like terms: -15 + 15 = 0 0 + 7x = -2 + 15 + 7ht 7x = -2 + 15 + 7ht Combine like terms: -2 + 15 = 13 7x = 13 + 7ht Divide each side by '7'. x = 1.857142857 + ht Simplifying x = 1.857142857 + ht
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