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Simplifying 2(x + -4) + 2c = -6x + -2 Reorder the terms: 2(-4 + x) + 2c = -6x + -2 (-4 * 2 + x * 2) + 2c = -6x + -2 (-8 + 2x) + 2c = -6x + -2 Reorder the terms: -8 + 2c + 2x = -6x + -2 Reorder the terms: -8 + 2c + 2x = -2 + -6x Solving -8 + 2c + 2x = -2 + -6x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 2c + 8 + 2x = -2 + 8 + -6x Reorder the terms: -8 + 8 + 2c + 2x = -2 + 8 + -6x Combine like terms: -8 + 8 = 0 0 + 2c + 2x = -2 + 8 + -6x 2c + 2x = -2 + 8 + -6x Combine like terms: -2 + 8 = 6 2c + 2x = 6 + -6x Add '-2x' to each side of the equation. 2c + 2x + -2x = 6 + -6x + -2x Combine like terms: 2x + -2x = 0 2c + 0 = 6 + -6x + -2x 2c = 6 + -6x + -2x Combine like terms: -6x + -2x = -8x 2c = 6 + -8x Divide each side by '2'. c = 3 + -4x Simplifying c = 3 + -4x
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