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Simplifying 4(x + 1) + 2c = 7 + 3(x + -1) Reorder the terms: 4(1 + x) + 2c = 7 + 3(x + -1) (1 * 4 + x * 4) + 2c = 7 + 3(x + -1) (4 + 4x) + 2c = 7 + 3(x + -1) Reorder the terms: 4 + 2c + 4x = 7 + 3(x + -1) Reorder the terms: 4 + 2c + 4x = 7 + 3(-1 + x) 4 + 2c + 4x = 7 + (-1 * 3 + x * 3) 4 + 2c + 4x = 7 + (-3 + 3x) Combine like terms: 7 + -3 = 4 4 + 2c + 4x = 4 + 3x Add '-4' to each side of the equation. 4 + 2c + -4 + 4x = 4 + -4 + 3x Reorder the terms: 4 + -4 + 2c + 4x = 4 + -4 + 3x Combine like terms: 4 + -4 = 0 0 + 2c + 4x = 4 + -4 + 3x 2c + 4x = 4 + -4 + 3x Combine like terms: 4 + -4 = 0 2c + 4x = 0 + 3x 2c + 4x = 3x Solving 2c + 4x = 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4x' to each side of the equation. 2c + 4x + -4x = 3x + -4x Combine like terms: 4x + -4x = 0 2c + 0 = 3x + -4x 2c = 3x + -4x Combine like terms: 3x + -4x = -1x 2c = -1x Divide each side by '2'. c = -0.5x Simplifying c = -0.5x
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