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