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Simplifying 3x + -10 = 2(2x + -5) + -1c Reorder the terms: -10 + 3x = 2(2x + -5) + -1c Reorder the terms: -10 + 3x = 2(-5 + 2x) + -1c -10 + 3x = (-5 * 2 + 2x * 2) + -1c -10 + 3x = (-10 + 4x) + -1c Reorder the terms: -10 + 3x = -10 + -1c + 4x Add '10' to each side of the equation. -10 + 10 + 3x = -10 + -1c + 10 + 4x Combine like terms: -10 + 10 = 0 0 + 3x = -10 + -1c + 10 + 4x 3x = -10 + -1c + 10 + 4x Reorder the terms: 3x = -10 + 10 + -1c + 4x Combine like terms: -10 + 10 = 0 3x = 0 + -1c + 4x 3x = -1c + 4x Solving 3x = -1c + 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. 3x + -4x = -1c + 4x + -4x Combine like terms: 3x + -4x = -1x -1x = -1c + 4x + -4x Combine like terms: 4x + -4x = 0 -1x = -1c + 0 -1x = -1c Divide each side by '-1'. x = c Simplifying x = c
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