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Simplifying 3x + -1(4x + 6) = x + -9 Reorder the terms: 3x + -1(6 + 4x) = x + -9 3x + (6 * -1 + 4x * -1) = x + -9 3x + (-6 + -4x) = x + -9 Reorder the terms: -6 + 3x + -4x = x + -9 Combine like terms: 3x + -4x = -1x -6 + -1x = x + -9 Reorder the terms: -6 + -1x = -9 + x Solving -6 + -1x = -9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + -1x + -1x = -9 + x + -1x Combine like terms: -1x + -1x = -2x -6 + -2x = -9 + x + -1x Combine like terms: x + -1x = 0 -6 + -2x = -9 + 0 -6 + -2x = -9 Add '6' to each side of the equation. -6 + 6 + -2x = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -9 + 6 -2x = -9 + 6 Combine like terms: -9 + 6 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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