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Simplifying 3x + -4 + 2(x + -2) = 10 + -4x Reorder the terms: 3x + -4 + 2(-2 + x) = 10 + -4x 3x + -4 + (-2 * 2 + x * 2) = 10 + -4x 3x + -4 + (-4 + 2x) = 10 + -4x Reorder the terms: -4 + -4 + 3x + 2x = 10 + -4x Combine like terms: -4 + -4 = -8 -8 + 3x + 2x = 10 + -4x Combine like terms: 3x + 2x = 5x -8 + 5x = 10 + -4x Solving -8 + 5x = 10 + -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 + 5x + 4x = 10 + -4x + 4x Combine like terms: 5x + 4x = 9x -8 + 9x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 9x = 10 + 0 -8 + 9x = 10 Add '8' to each side of the equation. -8 + 8 + 9x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 10 + 8 9x = 10 + 8 Combine like terms: 10 + 8 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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