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Simplifying -1(2x + 4y + -6) + 2(-2y + 4x + 8 + 5) = 18 Reorder the terms: -1(-6 + 2x + 4y) + 2(-2y + 4x + 8 + 5) = 18 (-6 * -1 + 2x * -1 + 4y * -1) + 2(-2y + 4x + 8 + 5) = 18 (6 + -2x + -4y) + 2(-2y + 4x + 8 + 5) = 18 Reorder the terms: 6 + -2x + -4y + 2(8 + 5 + 4x + -2y) = 18 Combine like terms: 8 + 5 = 13 6 + -2x + -4y + 2(13 + 4x + -2y) = 18 6 + -2x + -4y + (13 * 2 + 4x * 2 + -2y * 2) = 18 6 + -2x + -4y + (26 + 8x + -4y) = 18 Reorder the terms: 6 + 26 + -2x + 8x + -4y + -4y = 18 Combine like terms: 6 + 26 = 32 32 + -2x + 8x + -4y + -4y = 18 Combine like terms: -2x + 8x = 6x 32 + 6x + -4y + -4y = 18 Combine like terms: -4y + -4y = -8y 32 + 6x + -8y = 18 Solving 32 + 6x + -8y = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 6x + -32 + -8y = 18 + -32 Reorder the terms: 32 + -32 + 6x + -8y = 18 + -32 Combine like terms: 32 + -32 = 0 0 + 6x + -8y = 18 + -32 6x + -8y = 18 + -32 Combine like terms: 18 + -32 = -14 6x + -8y = -14 Add '8y' to each side of the equation. 6x + -8y + 8y = -14 + 8y Combine like terms: -8y + 8y = 0 6x + 0 = -14 + 8y 6x = -14 + 8y Divide each side by '6'. x = -2.333333333 + 1.333333333y Simplifying x = -2.333333333 + 1.333333333y
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