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Simplifying 3x + 12 = 5(12x + -3) Reorder the terms: 12 + 3x = 5(12x + -3) Reorder the terms: 12 + 3x = 5(-3 + 12x) 12 + 3x = (-3 * 5 + 12x * 5) 12 + 3x = (-15 + 60x) Solving 12 + 3x = -15 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 12 + 3x + -60x = -15 + 60x + -60x Combine like terms: 3x + -60x = -57x 12 + -57x = -15 + 60x + -60x Combine like terms: 60x + -60x = 0 12 + -57x = -15 + 0 12 + -57x = -15 Add '-12' to each side of the equation. 12 + -12 + -57x = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -57x = -15 + -12 -57x = -15 + -12 Combine like terms: -15 + -12 = -27 -57x = -27 Divide each side by '-57'. x = 0.4736842105 Simplifying x = 0.4736842105
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