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Simplifying 3x + 4(x + -2) = 10 + x Reorder the terms: 3x + 4(-2 + x) = 10 + x 3x + (-2 * 4 + x * 4) = 10 + x 3x + (-8 + 4x) = 10 + x Reorder the terms: -8 + 3x + 4x = 10 + x Combine like terms: 3x + 4x = 7x -8 + 7x = 10 + x Solving -8 + 7x = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 7x + -1x = 10 + x + -1x Combine like terms: 7x + -1x = 6x -8 + 6x = 10 + x + -1x Combine like terms: x + -1x = 0 -8 + 6x = 10 + 0 -8 + 6x = 10 Add '8' to each side of the equation. -8 + 8 + 6x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 10 + 8 6x = 10 + 8 Combine like terms: 10 + 8 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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