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Simplifying 5x + 2(x + 4) = 9x + -3(2x + -6) Reorder the terms: 5x + 2(4 + x) = 9x + -3(2x + -6) 5x + (4 * 2 + x * 2) = 9x + -3(2x + -6) 5x + (8 + 2x) = 9x + -3(2x + -6) Reorder the terms: 8 + 5x + 2x = 9x + -3(2x + -6) Combine like terms: 5x + 2x = 7x 8 + 7x = 9x + -3(2x + -6) Reorder the terms: 8 + 7x = 9x + -3(-6 + 2x) 8 + 7x = 9x + (-6 * -3 + 2x * -3) 8 + 7x = 9x + (18 + -6x) Reorder the terms: 8 + 7x = 18 + 9x + -6x Combine like terms: 9x + -6x = 3x 8 + 7x = 18 + 3x Solving 8 + 7x = 18 + 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. 8 + 7x + -3x = 18 + 3x + -3x Combine like terms: 7x + -3x = 4x 8 + 4x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 4x = 18 + 0 8 + 4x = 18 Add '-8' to each side of the equation. 8 + -8 + 4x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 18 + -8 4x = 18 + -8 Combine like terms: 18 + -8 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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