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Simplifying 4x + 9 + 2x = 2(4x + 10) + 3 Reorder the terms: 9 + 4x + 2x = 2(4x + 10) + 3 Combine like terms: 4x + 2x = 6x 9 + 6x = 2(4x + 10) + 3 Reorder the terms: 9 + 6x = 2(10 + 4x) + 3 9 + 6x = (10 * 2 + 4x * 2) + 3 9 + 6x = (20 + 8x) + 3 Reorder the terms: 9 + 6x = 20 + 3 + 8x Combine like terms: 20 + 3 = 23 9 + 6x = 23 + 8x Solving 9 + 6x = 23 + 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. 9 + 6x + -8x = 23 + 8x + -8x Combine like terms: 6x + -8x = -2x 9 + -2x = 23 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -2x = 23 + 0 9 + -2x = 23 Add '-9' to each side of the equation. 9 + -9 + -2x = 23 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 23 + -9 -2x = 23 + -9 Combine like terms: 23 + -9 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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