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Simplifying 5x + -23 = 4(2x + -2) + 9 Reorder the terms: -23 + 5x = 4(2x + -2) + 9 Reorder the terms: -23 + 5x = 4(-2 + 2x) + 9 -23 + 5x = (-2 * 4 + 2x * 4) + 9 -23 + 5x = (-8 + 8x) + 9 Reorder the terms: -23 + 5x = -8 + 9 + 8x Combine like terms: -8 + 9 = 1 -23 + 5x = 1 + 8x Solving -23 + 5x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -23 + 5x + -8x = 1 + 8x + -8x Combine like terms: 5x + -8x = -3x -23 + -3x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -23 + -3x = 1 + 0 -23 + -3x = 1 Add '23' to each side of the equation. -23 + 23 + -3x = 1 + 23 Combine like terms: -23 + 23 = 0 0 + -3x = 1 + 23 -3x = 1 + 23 Combine like terms: 1 + 23 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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