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Simplifying 30 + -2(x + -5) + -8x = 6(x + -7) + 2y Reorder the terms: 30 + -2(-5 + x) + -8x = 6(x + -7) + 2y 30 + (-5 * -2 + x * -2) + -8x = 6(x + -7) + 2y 30 + (10 + -2x) + -8x = 6(x + -7) + 2y Combine like terms: 30 + 10 = 40 40 + -2x + -8x = 6(x + -7) + 2y Combine like terms: -2x + -8x = -10x 40 + -10x = 6(x + -7) + 2y Reorder the terms: 40 + -10x = 6(-7 + x) + 2y 40 + -10x = (-7 * 6 + x * 6) + 2y 40 + -10x = (-42 + 6x) + 2y Solving 40 + -10x = -42 + 6x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + -10x + -6x = -42 + 6x + -6x + 2y Combine like terms: -10x + -6x = -16x 40 + -16x = -42 + 6x + -6x + 2y Combine like terms: 6x + -6x = 0 40 + -16x = -42 + 0 + 2y 40 + -16x = -42 + 2y Add '-40' to each side of the equation. 40 + -40 + -16x = -42 + -40 + 2y Combine like terms: 40 + -40 = 0 0 + -16x = -42 + -40 + 2y -16x = -42 + -40 + 2y Combine like terms: -42 + -40 = -82 -16x = -82 + 2y Divide each side by '-16'. x = 5.125 + -0.125y Simplifying x = 5.125 + -0.125y
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