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Simplifying 63 = -5(3x + -3) + 12(-9x + 4) Reorder the terms: 63 = -5(-3 + 3x) + 12(-9x + 4) 63 = (-3 * -5 + 3x * -5) + 12(-9x + 4) 63 = (15 + -15x) + 12(-9x + 4) Reorder the terms: 63 = 15 + -15x + 12(4 + -9x) 63 = 15 + -15x + (4 * 12 + -9x * 12) 63 = 15 + -15x + (48 + -108x) Reorder the terms: 63 = 15 + 48 + -15x + -108x Combine like terms: 15 + 48 = 63 63 = 63 + -15x + -108x Combine like terms: -15x + -108x = -123x 63 = 63 + -123x Add '-63' to each side of the equation. 63 + -63 = 63 + -63 + -123x Combine like terms: 63 + -63 = 0 0 = 63 + -63 + -123x Combine like terms: 63 + -63 = 0 0 = 0 + -123x 0 = -123x Solving 0 = -123x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '123x' to each side of the equation. 0 + 123x = -123x + 123x Remove the zero: 123x = -123x + 123x Combine like terms: -123x + 123x = 0 123x = 0 Divide each side by '123'. x = 0 Simplifying x = 0
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