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Simplifying 3(2x + -1) + 9 = 4x + 2(5 + -1x) Reorder the terms: 3(-1 + 2x) + 9 = 4x + 2(5 + -1x) (-1 * 3 + 2x * 3) + 9 = 4x + 2(5 + -1x) (-3 + 6x) + 9 = 4x + 2(5 + -1x) Reorder the terms: -3 + 9 + 6x = 4x + 2(5 + -1x) Combine like terms: -3 + 9 = 6 6 + 6x = 4x + 2(5 + -1x) 6 + 6x = 4x + (5 * 2 + -1x * 2) 6 + 6x = 4x + (10 + -2x) Reorder the terms: 6 + 6x = 10 + 4x + -2x Combine like terms: 4x + -2x = 2x 6 + 6x = 10 + 2x Solving 6 + 6x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 6x + -2x = 10 + 2x + -2x Combine like terms: 6x + -2x = 4x 6 + 4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 4x = 10 + 0 6 + 4x = 10 Add '-6' to each side of the equation. 6 + -6 + 4x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 10 + -6 4x = 10 + -6 Combine like terms: 10 + -6 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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