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Simplifying 3x + 7 + -2cx = 4x + 10 Reorder the terms: 7 + -2cx + 3x = 4x + 10 Reorder the terms: 7 + -2cx + 3x = 10 + 4x Solving 7 + -2cx + 3x = 10 + 4x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -2cx + -7 + 3x = 10 + -7 + 4x Reorder the terms: 7 + -7 + -2cx + 3x = 10 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + -2cx + 3x = 10 + -7 + 4x -2cx + 3x = 10 + -7 + 4x Combine like terms: 10 + -7 = 3 -2cx + 3x = 3 + 4x Add '-3x' to each side of the equation. -2cx + 3x + -3x = 3 + 4x + -3x Combine like terms: 3x + -3x = 0 -2cx + 0 = 3 + 4x + -3x -2cx = 3 + 4x + -3x Combine like terms: 4x + -3x = 1x -2cx = 3 + 1x Divide each side by '-2x'. c = -1.5x-1 + -0.5 Simplifying c = -1.5x-1 + -0.5 Reorder the terms: c = -0.5 + -1.5x-1
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