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Simplifying 3x + -5(x + -4) = -7 + 5x + -1 Reorder the terms: 3x + -5(-4 + x) = -7 + 5x + -1 3x + (-4 * -5 + x * -5) = -7 + 5x + -1 3x + (20 + -5x) = -7 + 5x + -1 Reorder the terms: 20 + 3x + -5x = -7 + 5x + -1 Combine like terms: 3x + -5x = -2x 20 + -2x = -7 + 5x + -1 Reorder the terms: 20 + -2x = -7 + -1 + 5x Combine like terms: -7 + -1 = -8 20 + -2x = -8 + 5x Solving 20 + -2x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + -2x + -5x = -8 + 5x + -5x Combine like terms: -2x + -5x = -7x 20 + -7x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -7x = -8 + 0 20 + -7x = -8 Add '-20' to each side of the equation. 20 + -20 + -7x = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = -8 + -20 -7x = -8 + -20 Combine like terms: -8 + -20 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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