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Simplifying 5(12 + -3y) + -9x = 4(3 + -2x) (12 * 5 + -3y * 5) + -9x = 4(3 + -2x) (60 + -15y) + -9x = 4(3 + -2x) Reorder the terms: 60 + -9x + -15y = 4(3 + -2x) 60 + -9x + -15y = (3 * 4 + -2x * 4) 60 + -9x + -15y = (12 + -8x) Solving 60 + -9x + -15y = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 60 + -9x + 8x + -15y = 12 + -8x + 8x Combine like terms: -9x + 8x = -1x 60 + -1x + -15y = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 60 + -1x + -15y = 12 + 0 60 + -1x + -15y = 12 Add '-60' to each side of the equation. 60 + -1x + -60 + -15y = 12 + -60 Reorder the terms: 60 + -60 + -1x + -15y = 12 + -60 Combine like terms: 60 + -60 = 0 0 + -1x + -15y = 12 + -60 -1x + -15y = 12 + -60 Combine like terms: 12 + -60 = -48 -1x + -15y = -48 Add '15y' to each side of the equation. -1x + -15y + 15y = -48 + 15y Combine like terms: -15y + 15y = 0 -1x + 0 = -48 + 15y -1x = -48 + 15y Divide each side by '-1'. x = 48 + -15y Simplifying x = 48 + -15y
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