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Simplifying 2x + -5(x + -4) = -7 + 3x + -21 Reorder the terms: 2x + -5(-4 + x) = -7 + 3x + -21 2x + (-4 * -5 + x * -5) = -7 + 3x + -21 2x + (20 + -5x) = -7 + 3x + -21 Reorder the terms: 20 + 2x + -5x = -7 + 3x + -21 Combine like terms: 2x + -5x = -3x 20 + -3x = -7 + 3x + -21 Reorder the terms: 20 + -3x = -7 + -21 + 3x Combine like terms: -7 + -21 = -28 20 + -3x = -28 + 3x Solving 20 + -3x = -28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + -3x + -3x = -28 + 3x + -3x Combine like terms: -3x + -3x = -6x 20 + -6x = -28 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -6x = -28 + 0 20 + -6x = -28 Add '-20' to each side of the equation. 20 + -20 + -6x = -28 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -28 + -20 -6x = -28 + -20 Combine like terms: -28 + -20 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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