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Simplifying 100 + -6(x + -2) = 18(x + -2) Reorder the terms: 100 + -6(-2 + x) = 18(x + -2) 100 + (-2 * -6 + x * -6) = 18(x + -2) 100 + (12 + -6x) = 18(x + -2) Combine like terms: 100 + 12 = 112 112 + -6x = 18(x + -2) Reorder the terms: 112 + -6x = 18(-2 + x) 112 + -6x = (-2 * 18 + x * 18) 112 + -6x = (-36 + 18x) Solving 112 + -6x = -36 + 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. 112 + -6x + -18x = -36 + 18x + -18x Combine like terms: -6x + -18x = -24x 112 + -24x = -36 + 18x + -18x Combine like terms: 18x + -18x = 0 112 + -24x = -36 + 0 112 + -24x = -36 Add '-112' to each side of the equation. 112 + -112 + -24x = -36 + -112 Combine like terms: 112 + -112 = 0 0 + -24x = -36 + -112 -24x = -36 + -112 Combine like terms: -36 + -112 = -148 -24x = -148 Divide each side by '-24'. x = 6.166666667 Simplifying x = 6.166666667
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