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Simplifying 5 + 3x7(q + -4) = 2(q + 1) Reorder the terms: 5 + 3x7(-4 + q) = 2(q + 1) 5 + (-4 * 3x7 + q * 3x7) = 2(q + 1) Reorder the terms: 5 + (3qx7 + -12x7) = 2(q + 1) 5 + (3qx7 + -12x7) = 2(q + 1) Reorder the terms: 5 + 3qx7 + -12x7 = 2(1 + q) 5 + 3qx7 + -12x7 = (1 * 2 + q * 2) 5 + 3qx7 + -12x7 = (2 + 2q) Solving 5 + 3qx7 + -12x7 = 2 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 5 + 3qx7 + -2q + -12x7 = 2 + 2q + -2q Reorder the terms: 5 + -2q + 3qx7 + -12x7 = 2 + 2q + -2q Combine like terms: 2q + -2q = 0 5 + -2q + 3qx7 + -12x7 = 2 + 0 5 + -2q + 3qx7 + -12x7 = 2 Add '-5' to each side of the equation. 5 + -2q + 3qx7 + -5 + -12x7 = 2 + -5 Reorder the terms: 5 + -5 + -2q + 3qx7 + -12x7 = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -2q + 3qx7 + -12x7 = 2 + -5 -2q + 3qx7 + -12x7 = 2 + -5 Combine like terms: 2 + -5 = -3 -2q + 3qx7 + -12x7 = -3 Add '12x7' to each side of the equation. -2q + 3qx7 + -12x7 + 12x7 = -3 + 12x7 Combine like terms: -12x7 + 12x7 = 0 -2q + 3qx7 + 0 = -3 + 12x7 -2q + 3qx7 = -3 + 12x7 Reorder the terms: 3 + -2q + 3qx7 + -12x7 = -3 + 12x7 + 3 + -12x7 Reorder the terms: 3 + -2q + 3qx7 + -12x7 = -3 + 3 + 12x7 + -12x7 Combine like terms: -3 + 3 = 0 3 + -2q + 3qx7 + -12x7 = 0 + 12x7 + -12x7 3 + -2q + 3qx7 + -12x7 = 12x7 + -12x7 Combine like terms: 12x7 + -12x7 = 0 3 + -2q + 3qx7 + -12x7 = 0 The solution to this equation could not be determined.
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