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Simplifying 6x + 2y = -2(-8x + 7) Reorder the terms: 6x + 2y = -2(7 + -8x) 6x + 2y = (7 * -2 + -8x * -2) 6x + 2y = (-14 + 16x) Solving 6x + 2y = -14 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 6x + -16x + 2y = -14 + 16x + -16x Combine like terms: 6x + -16x = -10x -10x + 2y = -14 + 16x + -16x Combine like terms: 16x + -16x = 0 -10x + 2y = -14 + 0 -10x + 2y = -14 Add '-2y' to each side of the equation. -10x + 2y + -2y = -14 + -2y Combine like terms: 2y + -2y = 0 -10x + 0 = -14 + -2y -10x = -14 + -2y Divide each side by '-10'. x = 1.4 + 0.2y Simplifying x = 1.4 + 0.2y
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