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Simplifying 2x + 3x + 9 + 7x = 4(x + 10) Reorder the terms: 9 + 2x + 3x + 7x = 4(x + 10) Combine like terms: 2x + 3x = 5x 9 + 5x + 7x = 4(x + 10) Combine like terms: 5x + 7x = 12x 9 + 12x = 4(x + 10) Reorder the terms: 9 + 12x = 4(10 + x) 9 + 12x = (10 * 4 + x * 4) 9 + 12x = (40 + 4x) Solving 9 + 12x = 40 + 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. 9 + 12x + -4x = 40 + 4x + -4x Combine like terms: 12x + -4x = 8x 9 + 8x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 8x = 40 + 0 9 + 8x = 40 Add '-9' to each side of the equation. 9 + -9 + 8x = 40 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 40 + -9 8x = 40 + -9 Combine like terms: 40 + -9 = 31 8x = 31 Divide each side by '8'. x = 3.875 Simplifying x = 3.875
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