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Simplifying 2(8x + -5y) + 3x = 8(9x + 7y + -6) (8x * 2 + -5y * 2) + 3x = 8(9x + 7y + -6) (16x + -10y) + 3x = 8(9x + 7y + -6) Reorder the terms: 16x + 3x + -10y = 8(9x + 7y + -6) Combine like terms: 16x + 3x = 19x 19x + -10y = 8(9x + 7y + -6) Reorder the terms: 19x + -10y = 8(-6 + 9x + 7y) 19x + -10y = (-6 * 8 + 9x * 8 + 7y * 8) 19x + -10y = (-48 + 72x + 56y) Solving 19x + -10y = -48 + 72x + 56y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 19x + -72x + -10y = -48 + 72x + -72x + 56y Combine like terms: 19x + -72x = -53x -53x + -10y = -48 + 72x + -72x + 56y Combine like terms: 72x + -72x = 0 -53x + -10y = -48 + 0 + 56y -53x + -10y = -48 + 56y Add '10y' to each side of the equation. -53x + -10y + 10y = -48 + 56y + 10y Combine like terms: -10y + 10y = 0 -53x + 0 = -48 + 56y + 10y -53x = -48 + 56y + 10y Combine like terms: 56y + 10y = 66y -53x = -48 + 66y Divide each side by '-53'. x = 0.9056603774 + -1.245283019y Simplifying x = 0.9056603774 + -1.245283019y
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