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Simplifying 7(8x + -4y + -6) = 8(-4x + -9y + 7) Reorder the terms: 7(-6 + 8x + -4y) = 8(-4x + -9y + 7) (-6 * 7 + 8x * 7 + -4y * 7) = 8(-4x + -9y + 7) (-42 + 56x + -28y) = 8(-4x + -9y + 7) Reorder the terms: -42 + 56x + -28y = 8(7 + -4x + -9y) -42 + 56x + -28y = (7 * 8 + -4x * 8 + -9y * 8) -42 + 56x + -28y = (56 + -32x + -72y) Solving -42 + 56x + -28y = 56 + -32x + -72y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -42 + 56x + 32x + -28y = 56 + -32x + 32x + -72y Combine like terms: 56x + 32x = 88x -42 + 88x + -28y = 56 + -32x + 32x + -72y Combine like terms: -32x + 32x = 0 -42 + 88x + -28y = 56 + 0 + -72y -42 + 88x + -28y = 56 + -72y Add '42' to each side of the equation. -42 + 88x + 42 + -28y = 56 + 42 + -72y Reorder the terms: -42 + 42 + 88x + -28y = 56 + 42 + -72y Combine like terms: -42 + 42 = 0 0 + 88x + -28y = 56 + 42 + -72y 88x + -28y = 56 + 42 + -72y Combine like terms: 56 + 42 = 98 88x + -28y = 98 + -72y Add '28y' to each side of the equation. 88x + -28y + 28y = 98 + -72y + 28y Combine like terms: -28y + 28y = 0 88x + 0 = 98 + -72y + 28y 88x = 98 + -72y + 28y Combine like terms: -72y + 28y = -44y 88x = 98 + -44y Divide each side by '88'. x = 1.113636364 + -0.5y Simplifying x = 1.113636364 + -0.5y
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