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Simplifying 3x + -2(x + 1) + 4x = 10 + -3x + -2 Reorder the terms: 3x + -2(1 + x) + 4x = 10 + -3x + -2 3x + (1 * -2 + x * -2) + 4x = 10 + -3x + -2 3x + (-2 + -2x) + 4x = 10 + -3x + -2 Reorder the terms: -2 + 3x + -2x + 4x = 10 + -3x + -2 Combine like terms: 3x + -2x = 1x -2 + 1x + 4x = 10 + -3x + -2 Combine like terms: 1x + 4x = 5x -2 + 5x = 10 + -3x + -2 Reorder the terms: -2 + 5x = 10 + -2 + -3x Combine like terms: 10 + -2 = 8 -2 + 5x = 8 + -3x Solving -2 + 5x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 5x + 3x = 8 + -3x + 3x Combine like terms: 5x + 3x = 8x -2 + 8x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 8x = 8 + 0 -2 + 8x = 8 Add '2' to each side of the equation. -2 + 2 + 8x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 8 + 2 8x = 8 + 2 Combine like terms: 8 + 2 = 10 8x = 10 Divide each side by '8'. x = 1.25 Simplifying x = 1.25
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