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Simplifying 4x + 2(x + -1) = 5x + -25 + 2x Reorder the terms: 4x + 2(-1 + x) = 5x + -25 + 2x 4x + (-1 * 2 + x * 2) = 5x + -25 + 2x 4x + (-2 + 2x) = 5x + -25 + 2x Reorder the terms: -2 + 4x + 2x = 5x + -25 + 2x Combine like terms: 4x + 2x = 6x -2 + 6x = 5x + -25 + 2x Reorder the terms: -2 + 6x = -25 + 5x + 2x Combine like terms: 5x + 2x = 7x -2 + 6x = -25 + 7x Solving -2 + 6x = -25 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 6x + -7x = -25 + 7x + -7x Combine like terms: 6x + -7x = -1x -2 + -1x = -25 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -1x = -25 + 0 -2 + -1x = -25 Add '2' to each side of the equation. -2 + 2 + -1x = -25 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -25 + 2 -1x = -25 + 2 Combine like terms: -25 + 2 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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