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Simplifying 6 + -4(2x + -3y) + 7y + -8x + 10 = 0 6 + (2x * -4 + -3y * -4) + 7y + -8x + 10 = 0 6 + (-8x + 12y) + 7y + -8x + 10 = 0 Reorder the terms: 6 + 10 + -8x + -8x + 12y + 7y = 0 Combine like terms: 6 + 10 = 16 16 + -8x + -8x + 12y + 7y = 0 Combine like terms: -8x + -8x = -16x 16 + -16x + 12y + 7y = 0 Combine like terms: 12y + 7y = 19y 16 + -16x + 19y = 0 Solving 16 + -16x + 19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16x + -16 + 19y = 0 + -16 Reorder the terms: 16 + -16 + -16x + 19y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -16x + 19y = 0 + -16 -16x + 19y = 0 + -16 Combine like terms: 0 + -16 = -16 -16x + 19y = -16 Add '-19y' to each side of the equation. -16x + 19y + -19y = -16 + -19y Combine like terms: 19y + -19y = 0 -16x + 0 = -16 + -19y -16x = -16 + -19y Divide each side by '-16'. x = 1 + 1.1875y Simplifying x = 1 + 1.1875y
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