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Simplifying 15(x + 5) + 9 = 4(x + 6) + 192 Reorder the terms: 15(5 + x) + 9 = 4(x + 6) + 192 (5 * 15 + x * 15) + 9 = 4(x + 6) + 192 (75 + 15x) + 9 = 4(x + 6) + 192 Reorder the terms: 75 + 9 + 15x = 4(x + 6) + 192 Combine like terms: 75 + 9 = 84 84 + 15x = 4(x + 6) + 192 Reorder the terms: 84 + 15x = 4(6 + x) + 192 84 + 15x = (6 * 4 + x * 4) + 192 84 + 15x = (24 + 4x) + 192 Reorder the terms: 84 + 15x = 24 + 192 + 4x Combine like terms: 24 + 192 = 216 84 + 15x = 216 + 4x Solving 84 + 15x = 216 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 84 + 15x + -4x = 216 + 4x + -4x Combine like terms: 15x + -4x = 11x 84 + 11x = 216 + 4x + -4x Combine like terms: 4x + -4x = 0 84 + 11x = 216 + 0 84 + 11x = 216 Add '-84' to each side of the equation. 84 + -84 + 11x = 216 + -84 Combine like terms: 84 + -84 = 0 0 + 11x = 216 + -84 11x = 216 + -84 Combine like terms: 216 + -84 = 132 11x = 132 Divide each side by '11'. x = 12 Simplifying x = 12
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