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Simplifying 22(x + -5) + x = -11 + -1(x + -1) Reorder the terms: 22(-5 + x) + x = -11 + -1(x + -1) (-5 * 22 + x * 22) + x = -11 + -1(x + -1) (-110 + 22x) + x = -11 + -1(x + -1) Combine like terms: 22x + x = 23x -110 + 23x = -11 + -1(x + -1) Reorder the terms: -110 + 23x = -11 + -1(-1 + x) -110 + 23x = -11 + (-1 * -1 + x * -1) -110 + 23x = -11 + (1 + -1x) Combine like terms: -11 + 1 = -10 -110 + 23x = -10 + -1x Solving -110 + 23x = -10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -110 + 23x + x = -10 + -1x + x Combine like terms: 23x + x = 24x -110 + 24x = -10 + -1x + x Combine like terms: -1x + x = 0 -110 + 24x = -10 + 0 -110 + 24x = -10 Add '110' to each side of the equation. -110 + 110 + 24x = -10 + 110 Combine like terms: -110 + 110 = 0 0 + 24x = -10 + 110 24x = -10 + 110 Combine like terms: -10 + 110 = 100 24x = 100 Divide each side by '24'. x = 4.166666667 Simplifying x = 4.166666667
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