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Simplifying -30x + 12(x + -1) = 24x + 200 Reorder the terms: -30x + 12(-1 + x) = 24x + 200 -30x + (-1 * 12 + x * 12) = 24x + 200 -30x + (-12 + 12x) = 24x + 200 Reorder the terms: -12 + -30x + 12x = 24x + 200 Combine like terms: -30x + 12x = -18x -12 + -18x = 24x + 200 Reorder the terms: -12 + -18x = 200 + 24x Solving -12 + -18x = 200 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -12 + -18x + -24x = 200 + 24x + -24x Combine like terms: -18x + -24x = -42x -12 + -42x = 200 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 + -42x = 200 + 0 -12 + -42x = 200 Add '12' to each side of the equation. -12 + 12 + -42x = 200 + 12 Combine like terms: -12 + 12 = 0 0 + -42x = 200 + 12 -42x = 200 + 12 Combine like terms: 200 + 12 = 212 -42x = 212 Divide each side by '-42'. x = -5.047619048 Simplifying x = -5.047619048
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