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Simplifying 2(3x + -4) + -9x + -5 = 2x + 12 Reorder the terms: 2(-4 + 3x) + -9x + -5 = 2x + 12 (-4 * 2 + 3x * 2) + -9x + -5 = 2x + 12 (-8 + 6x) + -9x + -5 = 2x + 12 Reorder the terms: -8 + -5 + 6x + -9x = 2x + 12 Combine like terms: -8 + -5 = -13 -13 + 6x + -9x = 2x + 12 Combine like terms: 6x + -9x = -3x -13 + -3x = 2x + 12 Reorder the terms: -13 + -3x = 12 + 2x Solving -13 + -3x = 12 + 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. -13 + -3x + -2x = 12 + 2x + -2x Combine like terms: -3x + -2x = -5x -13 + -5x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + -5x = 12 + 0 -13 + -5x = 12 Add '13' to each side of the equation. -13 + 13 + -5x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 12 + 13 -5x = 12 + 13 Combine like terms: 12 + 13 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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