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Simplifying (x + 23) * 8 = (x + 4) * 13 Reorder the terms: (23 + x) * 8 = (x + 4) * 13 Reorder the terms for easier multiplication: 8(23 + x) = (x + 4) * 13 (23 * 8 + x * 8) = (x + 4) * 13 (184 + 8x) = (x + 4) * 13 Reorder the terms: 184 + 8x = (4 + x) * 13 Reorder the terms for easier multiplication: 184 + 8x = 13(4 + x) 184 + 8x = (4 * 13 + x * 13) 184 + 8x = (52 + 13x) Solving 184 + 8x = 52 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 184 + 8x + -13x = 52 + 13x + -13x Combine like terms: 8x + -13x = -5x 184 + -5x = 52 + 13x + -13x Combine like terms: 13x + -13x = 0 184 + -5x = 52 + 0 184 + -5x = 52 Add '-184' to each side of the equation. 184 + -184 + -5x = 52 + -184 Combine like terms: 184 + -184 = 0 0 + -5x = 52 + -184 -5x = 52 + -184 Combine like terms: 52 + -184 = -132 -5x = -132 Divide each side by '-5'. x = 26.4 Simplifying x = 26.4
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