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Simplifying 1 + -1x + -6x + 11 = -9(x + -6) + -10(9x + -5) Reorder the terms: 1 + 11 + -1x + -6x = -9(x + -6) + -10(9x + -5) Combine like terms: 1 + 11 = 12 12 + -1x + -6x = -9(x + -6) + -10(9x + -5) Combine like terms: -1x + -6x = -7x 12 + -7x = -9(x + -6) + -10(9x + -5) Reorder the terms: 12 + -7x = -9(-6 + x) + -10(9x + -5) 12 + -7x = (-6 * -9 + x * -9) + -10(9x + -5) 12 + -7x = (54 + -9x) + -10(9x + -5) Reorder the terms: 12 + -7x = 54 + -9x + -10(-5 + 9x) 12 + -7x = 54 + -9x + (-5 * -10 + 9x * -10) 12 + -7x = 54 + -9x + (50 + -90x) Reorder the terms: 12 + -7x = 54 + 50 + -9x + -90x Combine like terms: 54 + 50 = 104 12 + -7x = 104 + -9x + -90x Combine like terms: -9x + -90x = -99x 12 + -7x = 104 + -99x Solving 12 + -7x = 104 + -99x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '99x' to each side of the equation. 12 + -7x + 99x = 104 + -99x + 99x Combine like terms: -7x + 99x = 92x 12 + 92x = 104 + -99x + 99x Combine like terms: -99x + 99x = 0 12 + 92x = 104 + 0 12 + 92x = 104 Add '-12' to each side of the equation. 12 + -12 + 92x = 104 + -12 Combine like terms: 12 + -12 = 0 0 + 92x = 104 + -12 92x = 104 + -12 Combine like terms: 104 + -12 = 92 92x = 92 Divide each side by '92'. x = 1 Simplifying x = 1
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