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Simplifying 5 + 3(x + -4) = 2(q + 1) Reorder the terms: 5 + 3(-4 + x) = 2(q + 1) 5 + (-4 * 3 + x * 3) = 2(q + 1) 5 + (-12 + 3x) = 2(q + 1) Combine like terms: 5 + -12 = -7 -7 + 3x = 2(q + 1) Reorder the terms: -7 + 3x = 2(1 + q) -7 + 3x = (1 * 2 + q * 2) -7 + 3x = (2 + 2q) Solving -7 + 3x = 2 + 2q Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3x = 2 + 7 + 2q Combine like terms: -7 + 7 = 0 0 + 3x = 2 + 7 + 2q 3x = 2 + 7 + 2q Combine like terms: 2 + 7 = 9 3x = 9 + 2q Divide each side by '3'. x = 3 + 0.6666666667q Simplifying x = 3 + 0.6666666667q
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