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Simplifying 3x + -5(x + -4) = -5 + 2x + -3 Reorder the terms: 3x + -5(-4 + x) = -5 + 2x + -3 3x + (-4 * -5 + x * -5) = -5 + 2x + -3 3x + (20 + -5x) = -5 + 2x + -3 Reorder the terms: 20 + 3x + -5x = -5 + 2x + -3 Combine like terms: 3x + -5x = -2x 20 + -2x = -5 + 2x + -3 Reorder the terms: 20 + -2x = -5 + -3 + 2x Combine like terms: -5 + -3 = -8 20 + -2x = -8 + 2x Solving 20 + -2x = -8 + 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 = -8 + 2x + -2x Combine like terms: -2x + -2x = -4x 20 + -4x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -4x = -8 + 0 20 + -4x = -8 Add '-20' to each side of the equation. 20 + -20 + -4x = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = -8 + -20 -4x = -8 + -20 Combine like terms: -8 + -20 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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