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Simplifying 4(x + -6) + 2x = 5x + -1 Reorder the terms: 4(-6 + x) + 2x = 5x + -1 (-6 * 4 + x * 4) + 2x = 5x + -1 (-24 + 4x) + 2x = 5x + -1 Combine like terms: 4x + 2x = 6x -24 + 6x = 5x + -1 Reorder the terms: -24 + 6x = -1 + 5x Solving -24 + 6x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 6x + -5x = -1 + 5x + -5x Combine like terms: 6x + -5x = 1x -24 + 1x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 1x = -1 + 0 -24 + 1x = -1 Add '24' to each side of the equation. -24 + 24 + 1x = -1 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -1 + 24 1x = -1 + 24 Combine like terms: -1 + 24 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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