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Simplifying 3(x + -4) + 6(y + 1) = 21 Reorder the terms: 3(-4 + x) + 6(y + 1) = 21 (-4 * 3 + x * 3) + 6(y + 1) = 21 (-12 + 3x) + 6(y + 1) = 21 Reorder the terms: -12 + 3x + 6(1 + y) = 21 -12 + 3x + (1 * 6 + y * 6) = 21 -12 + 3x + (6 + 6y) = 21 Reorder the terms: -12 + 6 + 3x + 6y = 21 Combine like terms: -12 + 6 = -6 -6 + 3x + 6y = 21 Solving -6 + 3x + 6y = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3x + 6 + 6y = 21 + 6 Reorder the terms: -6 + 6 + 3x + 6y = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 3x + 6y = 21 + 6 3x + 6y = 21 + 6 Combine like terms: 21 + 6 = 27 3x + 6y = 27 Add '-6y' to each side of the equation. 3x + 6y + -6y = 27 + -6y Combine like terms: 6y + -6y = 0 3x + 0 = 27 + -6y 3x = 27 + -6y Divide each side by '3'. x = 9 + -2y Simplifying x = 9 + -2y
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