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Simplifying 3x + -5(x + -4) = 5 + 2x + -7 Reorder the terms: 3x + -5(-4 + x) = 5 + 2x + -7 3x + (-4 * -5 + x * -5) = 5 + 2x + -7 3x + (20 + -5x) = 5 + 2x + -7 Reorder the terms: 20 + 3x + -5x = 5 + 2x + -7 Combine like terms: 3x + -5x = -2x 20 + -2x = 5 + 2x + -7 Reorder the terms: 20 + -2x = 5 + -7 + 2x Combine like terms: 5 + -7 = -2 20 + -2x = -2 + 2x Solving 20 + -2x = -2 + 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 + -2x + -2x = -2 + 2x + -2x Combine like terms: -2x + -2x = -4x 20 + -4x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -4x = -2 + 0 20 + -4x = -2 Add '-20' to each side of the equation. 20 + -20 + -4x = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = -2 + -20 -4x = -2 + -20 Combine like terms: -2 + -20 = -22 -4x = -22 Divide each side by '-4'. x = 5.5 Simplifying x = 5.5
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