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Simplifying 8(y + 6) + -1x = 15x Reorder the terms: 8(6 + y) + -1x = 15x (6 * 8 + y * 8) + -1x = 15x (48 + 8y) + -1x = 15x Reorder the terms: 48 + -1x + 8y = 15x Solving 48 + -1x + 8y = 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. 48 + -1x + -15x + 8y = 15x + -15x Combine like terms: -1x + -15x = -16x 48 + -16x + 8y = 15x + -15x Combine like terms: 15x + -15x = 0 48 + -16x + 8y = 0 Add '-48' to each side of the equation. 48 + -16x + -48 + 8y = 0 + -48 Reorder the terms: 48 + -48 + -16x + 8y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -16x + 8y = 0 + -48 -16x + 8y = 0 + -48 Combine like terms: 0 + -48 = -48 -16x + 8y = -48 Add '-8y' to each side of the equation. -16x + 8y + -8y = -48 + -8y Combine like terms: 8y + -8y = 0 -16x + 0 = -48 + -8y -16x = -48 + -8y Divide each side by '-16'. x = 3 + 0.5y Simplifying x = 3 + 0.5y
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