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Simplifying 6(x + -3) + 4(y + -5) = 170 Reorder the terms: 6(-3 + x) + 4(y + -5) = 170 (-3 * 6 + x * 6) + 4(y + -5) = 170 (-18 + 6x) + 4(y + -5) = 170 Reorder the terms: -18 + 6x + 4(-5 + y) = 170 -18 + 6x + (-5 * 4 + y * 4) = 170 -18 + 6x + (-20 + 4y) = 170 Reorder the terms: -18 + -20 + 6x + 4y = 170 Combine like terms: -18 + -20 = -38 -38 + 6x + 4y = 170 Solving -38 + 6x + 4y = 170 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 6x + 38 + 4y = 170 + 38 Reorder the terms: -38 + 38 + 6x + 4y = 170 + 38 Combine like terms: -38 + 38 = 0 0 + 6x + 4y = 170 + 38 6x + 4y = 170 + 38 Combine like terms: 170 + 38 = 208 6x + 4y = 208 Add '-4y' to each side of the equation. 6x + 4y + -4y = 208 + -4y Combine like terms: 4y + -4y = 0 6x + 0 = 208 + -4y 6x = 208 + -4y Divide each side by '6'. x = 34.66666667 + -0.6666666667y Simplifying x = 34.66666667 + -0.6666666667y
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