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Simplifying 6x + -45 = 20(60x + -30) Reorder the terms: -45 + 6x = 20(60x + -30) Reorder the terms: -45 + 6x = 20(-30 + 60x) -45 + 6x = (-30 * 20 + 60x * 20) -45 + 6x = (-600 + 1200x) Solving -45 + 6x = -600 + 1200x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1200x' to each side of the equation. -45 + 6x + -1200x = -600 + 1200x + -1200x Combine like terms: 6x + -1200x = -1194x -45 + -1194x = -600 + 1200x + -1200x Combine like terms: 1200x + -1200x = 0 -45 + -1194x = -600 + 0 -45 + -1194x = -600 Add '45' to each side of the equation. -45 + 45 + -1194x = -600 + 45 Combine like terms: -45 + 45 = 0 0 + -1194x = -600 + 45 -1194x = -600 + 45 Combine like terms: -600 + 45 = -555 -1194x = -555 Divide each side by '-1194'. x = 0.4648241206 Simplifying x = 0.4648241206
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