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Simplifying 2x + -5(x + -4) = -2 + 4x + -27 Reorder the terms: 2x + -5(-4 + x) = -2 + 4x + -27 2x + (-4 * -5 + x * -5) = -2 + 4x + -27 2x + (20 + -5x) = -2 + 4x + -27 Reorder the terms: 20 + 2x + -5x = -2 + 4x + -27 Combine like terms: 2x + -5x = -3x 20 + -3x = -2 + 4x + -27 Reorder the terms: 20 + -3x = -2 + -27 + 4x Combine like terms: -2 + -27 = -29 20 + -3x = -29 + 4x Solving 20 + -3x = -29 + 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 = -29 + 4x + -4x Combine like terms: -3x + -4x = -7x 20 + -7x = -29 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -7x = -29 + 0 20 + -7x = -29 Add '-20' to each side of the equation. 20 + -20 + -7x = -29 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = -29 + -20 -7x = -29 + -20 Combine like terms: -29 + -20 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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