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Simplifying 6x + 4 + -2x + 5 = 3(2x + 8) Reorder the terms: 4 + 5 + 6x + -2x = 3(2x + 8) Combine like terms: 4 + 5 = 9 9 + 6x + -2x = 3(2x + 8) Combine like terms: 6x + -2x = 4x 9 + 4x = 3(2x + 8) Reorder the terms: 9 + 4x = 3(8 + 2x) 9 + 4x = (8 * 3 + 2x * 3) 9 + 4x = (24 + 6x) Solving 9 + 4x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 4x + -6x = 24 + 6x + -6x Combine like terms: 4x + -6x = -2x 9 + -2x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -2x = 24 + 0 9 + -2x = 24 Add '-9' to each side of the equation. 9 + -9 + -2x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 24 + -9 -2x = 24 + -9 Combine like terms: 24 + -9 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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