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Simplifying 3x + -1(4x + -3) = 2x + -9 Reorder the terms: 3x + -1(-3 + 4x) = 2x + -9 3x + (-3 * -1 + 4x * -1) = 2x + -9 3x + (3 + -4x) = 2x + -9 Reorder the terms: 3 + 3x + -4x = 2x + -9 Combine like terms: 3x + -4x = -1x 3 + -1x = 2x + -9 Reorder the terms: 3 + -1x = -9 + 2x Solving 3 + -1x = -9 + 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. 3 + -1x + -2x = -9 + 2x + -2x Combine like terms: -1x + -2x = -3x 3 + -3x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -3x = -9 + 0 3 + -3x = -9 Add '-3' to each side of the equation. 3 + -3 + -3x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -9 + -3 -3x = -9 + -3 Combine like terms: -9 + -3 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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