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Simplifying 3(x + -4) + 2x = -14 + 2x + -9 Reorder the terms: 3(-4 + x) + 2x = -14 + 2x + -9 (-4 * 3 + x * 3) + 2x = -14 + 2x + -9 (-12 + 3x) + 2x = -14 + 2x + -9 Combine like terms: 3x + 2x = 5x -12 + 5x = -14 + 2x + -9 Reorder the terms: -12 + 5x = -14 + -9 + 2x Combine like terms: -14 + -9 = -23 -12 + 5x = -23 + 2x Solving -12 + 5x = -23 + 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. -12 + 5x + -2x = -23 + 2x + -2x Combine like terms: 5x + -2x = 3x -12 + 3x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 3x = -23 + 0 -12 + 3x = -23 Add '12' to each side of the equation. -12 + 12 + 3x = -23 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -23 + 12 3x = -23 + 12 Combine like terms: -23 + 12 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667
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