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Simplifying 4(x + 2) = 5x + 23 Reorder the terms: 4(2 + x) = 5x + 23 (2 * 4 + x * 4) = 5x + 23 (8 + 4x) = 5x + 23 Reorder the terms: 8 + 4x = 23 + 5x Solving 8 + 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. 8 + 4x + -5x = 23 + 5x + -5x Combine like terms: 4x + -5x = -1x 8 + -1x = 23 + 5x + -5x Combine like terms: 5x + -5x = 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 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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