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Simplifying 2(7x + 4) = 4x + -6(2 + -1c) + 7 Reorder the terms: 2(4 + 7x) = 4x + -6(2 + -1c) + 7 (4 * 2 + 7x * 2) = 4x + -6(2 + -1c) + 7 (8 + 14x) = 4x + -6(2 + -1c) + 7 8 + 14x = 4x + (2 * -6 + -1c * -6) + 7 8 + 14x = 4x + (-12 + 6c) + 7 Reorder the terms: 8 + 14x = -12 + 7 + 6c + 4x Combine like terms: -12 + 7 = -5 8 + 14x = -5 + 6c + 4x Solving 8 + 14x = -5 + 6c + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 14x + -4x = -5 + 6c + 4x + -4x Combine like terms: 14x + -4x = 10x 8 + 10x = -5 + 6c + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 10x = -5 + 6c + 0 8 + 10x = -5 + 6c Add '-8' to each side of the equation. 8 + -8 + 10x = -5 + -8 + 6c Combine like terms: 8 + -8 = 0 0 + 10x = -5 + -8 + 6c 10x = -5 + -8 + 6c Combine like terms: -5 + -8 = -13 10x = -13 + 6c Divide each side by '10'. x = -1.3 + 0.6c Simplifying x = -1.3 + 0.6c
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