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