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