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Simplifying 8(4x + -1(5 + -6y + 7x) + 2y) = 0 Reorder the terms: 8(4x + -1(5 + 7x + -6y) + 2y) = 0 8(4x + (5 * -1 + 7x * -1 + -6y * -1) + 2y) = 0 8(4x + (-5 + -7x + 6y) + 2y) = 0 Reorder the terms: 8(-5 + 4x + -7x + 6y + 2y) = 0 Combine like terms: 4x + -7x = -3x 8(-5 + -3x + 6y + 2y) = 0 Combine like terms: 6y + 2y = 8y 8(-5 + -3x + 8y) = 0 (-5 * 8 + -3x * 8 + 8y * 8) = 0 (-40 + -24x + 64y) = 0 Solving -40 + -24x + 64y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + -24x + 40 + 64y = 0 + 40 Reorder the terms: -40 + 40 + -24x + 64y = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -24x + 64y = 0 + 40 -24x + 64y = 0 + 40 Combine like terms: 0 + 40 = 40 -24x + 64y = 40 Add '-64y' to each side of the equation. -24x + 64y + -64y = 40 + -64y Combine like terms: 64y + -64y = 0 -24x + 0 = 40 + -64y -24x = 40 + -64y Divide each side by '-24'. x = -1.666666667 + 2.666666667y Simplifying x = -1.666666667 + 2.666666667y
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