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Simplifying 3(x + 4) + 4x = 9x + 2(-3x + 10) Reorder the terms: 3(4 + x) + 4x = 9x + 2(-3x + 10) (4 * 3 + x * 3) + 4x = 9x + 2(-3x + 10) (12 + 3x) + 4x = 9x + 2(-3x + 10) Combine like terms: 3x + 4x = 7x 12 + 7x = 9x + 2(-3x + 10) Reorder the terms: 12 + 7x = 9x + 2(10 + -3x) 12 + 7x = 9x + (10 * 2 + -3x * 2) 12 + 7x = 9x + (20 + -6x) Reorder the terms: 12 + 7x = 20 + 9x + -6x Combine like terms: 9x + -6x = 3x 12 + 7x = 20 + 3x Solving 12 + 7x = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 7x + -3x = 20 + 3x + -3x Combine like terms: 7x + -3x = 4x 12 + 4x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 4x = 20 + 0 12 + 4x = 20 Add '-12' to each side of the equation. 12 + -12 + 4x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 20 + -12 4x = 20 + -12 Combine like terms: 20 + -12 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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