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Simplifying 3x + -1x + 2(x + -4) = 23 + 3x Reorder the terms: 3x + -1x + 2(-4 + x) = 23 + 3x 3x + -1x + (-4 * 2 + x * 2) = 23 + 3x 3x + -1x + (-8 + 2x) = 23 + 3x Reorder the terms: -8 + 3x + -1x + 2x = 23 + 3x Combine like terms: 3x + -1x = 2x -8 + 2x + 2x = 23 + 3x Combine like terms: 2x + 2x = 4x -8 + 4x = 23 + 3x Solving -8 + 4x = 23 + 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. -8 + 4x + -3x = 23 + 3x + -3x Combine like terms: 4x + -3x = 1x -8 + 1x = 23 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 1x = 23 + 0 -8 + 1x = 23 Add '8' to each side of the equation. -8 + 8 + 1x = 23 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 23 + 8 1x = 23 + 8 Combine like terms: 23 + 8 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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