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Simplifying 6(24x + -30) = 29(-45 + -2x) Reorder the terms: 6(-30 + 24x) = 29(-45 + -2x) (-30 * 6 + 24x * 6) = 29(-45 + -2x) (-180 + 144x) = 29(-45 + -2x) -180 + 144x = (-45 * 29 + -2x * 29) -180 + 144x = (-1305 + -58x) Solving -180 + 144x = -1305 + -58x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58x' to each side of the equation. -180 + 144x + 58x = -1305 + -58x + 58x Combine like terms: 144x + 58x = 202x -180 + 202x = -1305 + -58x + 58x Combine like terms: -58x + 58x = 0 -180 + 202x = -1305 + 0 -180 + 202x = -1305 Add '180' to each side of the equation. -180 + 180 + 202x = -1305 + 180 Combine like terms: -180 + 180 = 0 0 + 202x = -1305 + 180 202x = -1305 + 180 Combine like terms: -1305 + 180 = -1125 202x = -1125 Divide each side by '202'. x = -5.569306931 Simplifying x = -5.569306931
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