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Simplifying 4(2x + 5) + x + -7 = 2(x + 10) + 2x + 25 + -17 Reorder the terms: 4(5 + 2x) + x + -7 = 2(x + 10) + 2x + 25 + -17 (5 * 4 + 2x * 4) + x + -7 = 2(x + 10) + 2x + 25 + -17 (20 + 8x) + x + -7 = 2(x + 10) + 2x + 25 + -17 Reorder the terms: 20 + -7 + 8x + x = 2(x + 10) + 2x + 25 + -17 Combine like terms: 20 + -7 = 13 13 + 8x + x = 2(x + 10) + 2x + 25 + -17 Combine like terms: 8x + x = 9x 13 + 9x = 2(x + 10) + 2x + 25 + -17 Reorder the terms: 13 + 9x = 2(10 + x) + 2x + 25 + -17 13 + 9x = (10 * 2 + x * 2) + 2x + 25 + -17 13 + 9x = (20 + 2x) + 2x + 25 + -17 Reorder the terms: 13 + 9x = 20 + 25 + -17 + 2x + 2x Combine like terms: 20 + 25 = 45 13 + 9x = 45 + -17 + 2x + 2x Combine like terms: 45 + -17 = 28 13 + 9x = 28 + 2x + 2x Combine like terms: 2x + 2x = 4x 13 + 9x = 28 + 4x Solving 13 + 9x = 28 + 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. 13 + 9x + -4x = 28 + 4x + -4x Combine like terms: 9x + -4x = 5x 13 + 5x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + 5x = 28 + 0 13 + 5x = 28 Add '-13' to each side of the equation. 13 + -13 + 5x = 28 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 28 + -13 5x = 28 + -13 Combine like terms: 28 + -13 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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