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Simplifying (4x + 7y + 17) + -1(6x + -8y + -11) = 0 Reorder the terms: (17 + 4x + 7y) + -1(6x + -8y + -11) = 0 Remove parenthesis around (17 + 4x + 7y) 17 + 4x + 7y + -1(6x + -8y + -11) = 0 Reorder the terms: 17 + 4x + 7y + -1(-11 + 6x + -8y) = 0 17 + 4x + 7y + (-11 * -1 + 6x * -1 + -8y * -1) = 0 17 + 4x + 7y + (11 + -6x + 8y) = 0 Reorder the terms: 17 + 11 + 4x + -6x + 7y + 8y = 0 Combine like terms: 17 + 11 = 28 28 + 4x + -6x + 7y + 8y = 0 Combine like terms: 4x + -6x = -2x 28 + -2x + 7y + 8y = 0 Combine like terms: 7y + 8y = 15y 28 + -2x + 15y = 0 Solving 28 + -2x + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -2x + -28 + 15y = 0 + -28 Reorder the terms: 28 + -28 + -2x + 15y = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -2x + 15y = 0 + -28 -2x + 15y = 0 + -28 Combine like terms: 0 + -28 = -28 -2x + 15y = -28 Add '-15y' to each side of the equation. -2x + 15y + -15y = -28 + -15y Combine like terms: 15y + -15y = 0 -2x + 0 = -28 + -15y -2x = -28 + -15y Divide each side by '-2'. x = 14 + 7.5y Simplifying x = 14 + 7.5y
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