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Simplifying 2x + -5(x + -4) = -6 + 2x + -9 Reorder the terms: 2x + -5(-4 + x) = -6 + 2x + -9 2x + (-4 * -5 + x * -5) = -6 + 2x + -9 2x + (20 + -5x) = -6 + 2x + -9 Reorder the terms: 20 + 2x + -5x = -6 + 2x + -9 Combine like terms: 2x + -5x = -3x 20 + -3x = -6 + 2x + -9 Reorder the terms: 20 + -3x = -6 + -9 + 2x Combine like terms: -6 + -9 = -15 20 + -3x = -15 + 2x Solving 20 + -3x = -15 + 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. 20 + -3x + -2x = -15 + 2x + -2x Combine like terms: -3x + -2x = -5x 20 + -5x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -5x = -15 + 0 20 + -5x = -15 Add '-20' to each side of the equation. 20 + -20 + -5x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -15 + -20 -5x = -15 + -20 Combine like terms: -15 + -20 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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