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Simplifying 6(x + -3) + 10 = 2(3y + -4) Reorder the terms: 6(-3 + x) + 10 = 2(3y + -4) (-3 * 6 + x * 6) + 10 = 2(3y + -4) (-18 + 6x) + 10 = 2(3y + -4) Reorder the terms: -18 + 10 + 6x = 2(3y + -4) Combine like terms: -18 + 10 = -8 -8 + 6x = 2(3y + -4) Reorder the terms: -8 + 6x = 2(-4 + 3y) -8 + 6x = (-4 * 2 + 3y * 2) -8 + 6x = (-8 + 6y) Add '8' to each side of the equation. -8 + 8 + 6x = -8 + 8 + 6y Combine like terms: -8 + 8 = 0 0 + 6x = -8 + 8 + 6y 6x = -8 + 8 + 6y Combine like terms: -8 + 8 = 0 6x = 0 + 6y 6x = 6y Solving 6x = 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '6'. x = y Simplifying x = y
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