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Simplifying 3x + -5(x + -4) = 2x + 7 Reorder the terms: 3x + -5(-4 + x) = 2x + 7 3x + (-4 * -5 + x * -5) = 2x + 7 3x + (20 + -5x) = 2x + 7 Reorder the terms: 20 + 3x + -5x = 2x + 7 Combine like terms: 3x + -5x = -2x 20 + -2x = 2x + 7 Reorder the terms: 20 + -2x = 7 + 2x Solving 20 + -2x = 7 + 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 = 7 + 2x + -2x Combine like terms: -2x + -2x = -4x 20 + -4x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -4x = 7 + 0 20 + -4x = 7 Add '-20' to each side of the equation. 20 + -20 + -4x = 7 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 7 + -20 -4x = 7 + -20 Combine like terms: 7 + -20 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25
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