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Simplifying 4(3y + 9) + -6y + 7x = 15x + -12 Reorder the terms: 4(9 + 3y) + -6y + 7x = 15x + -12 (9 * 4 + 3y * 4) + -6y + 7x = 15x + -12 (36 + 12y) + -6y + 7x = 15x + -12 Reorder the terms: 36 + 7x + 12y + -6y = 15x + -12 Combine like terms: 12y + -6y = 6y 36 + 7x + 6y = 15x + -12 Reorder the terms: 36 + 7x + 6y = -12 + 15x Solving 36 + 7x + 6y = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 36 + 7x + -15x + 6y = -12 + 15x + -15x Combine like terms: 7x + -15x = -8x 36 + -8x + 6y = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 36 + -8x + 6y = -12 + 0 36 + -8x + 6y = -12 Add '-36' to each side of the equation. 36 + -8x + -36 + 6y = -12 + -36 Reorder the terms: 36 + -36 + -8x + 6y = -12 + -36 Combine like terms: 36 + -36 = 0 0 + -8x + 6y = -12 + -36 -8x + 6y = -12 + -36 Combine like terms: -12 + -36 = -48 -8x + 6y = -48 Add '-6y' to each side of the equation. -8x + 6y + -6y = -48 + -6y Combine like terms: 6y + -6y = 0 -8x + 0 = -48 + -6y -8x = -48 + -6y Divide each side by '-8'. x = 6 + 0.75y Simplifying x = 6 + 0.75y
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