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Simplifying 9(x + 1) + 3 = 10(x + -10) + -9 Reorder the terms: 9(1 + x) + 3 = 10(x + -10) + -9 (1 * 9 + x * 9) + 3 = 10(x + -10) + -9 (9 + 9x) + 3 = 10(x + -10) + -9 Reorder the terms: 9 + 3 + 9x = 10(x + -10) + -9 Combine like terms: 9 + 3 = 12 12 + 9x = 10(x + -10) + -9 Reorder the terms: 12 + 9x = 10(-10 + x) + -9 12 + 9x = (-10 * 10 + x * 10) + -9 12 + 9x = (-100 + 10x) + -9 Reorder the terms: 12 + 9x = -100 + -9 + 10x Combine like terms: -100 + -9 = -109 12 + 9x = -109 + 10x Solving 12 + 9x = -109 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 9x + -10x = -109 + 10x + -10x Combine like terms: 9x + -10x = -1x 12 + -1x = -109 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -1x = -109 + 0 12 + -1x = -109 Add '-12' to each side of the equation. 12 + -12 + -1x = -109 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -109 + -12 -1x = -109 + -12 Combine like terms: -109 + -12 = -121 -1x = -121 Divide each side by '-1'. x = 121 Simplifying x = 121
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