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Simplifying 8x + -4(x + -1) = 7x + 23 + -2x Reorder the terms: 8x + -4(-1 + x) = 7x + 23 + -2x 8x + (-1 * -4 + x * -4) = 7x + 23 + -2x 8x + (4 + -4x) = 7x + 23 + -2x Reorder the terms: 4 + 8x + -4x = 7x + 23 + -2x Combine like terms: 8x + -4x = 4x 4 + 4x = 7x + 23 + -2x Reorder the terms: 4 + 4x = 23 + 7x + -2x Combine like terms: 7x + -2x = 5x 4 + 4x = 23 + 5x Solving 4 + 4x = 23 + 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. 4 + 4x + -5x = 23 + 5x + -5x Combine like terms: 4x + -5x = -1x 4 + -1x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -1x = 23 + 0 4 + -1x = 23 Add '-4' to each side of the equation. 4 + -4 + -1x = 23 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 23 + -4 -1x = 23 + -4 Combine like terms: 23 + -4 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19
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