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Simplifying 7(x + -4) + -5 = 5x + 5 Reorder the terms: 7(-4 + x) + -5 = 5x + 5 (-4 * 7 + x * 7) + -5 = 5x + 5 (-28 + 7x) + -5 = 5x + 5 Reorder the terms: -28 + -5 + 7x = 5x + 5 Combine like terms: -28 + -5 = -33 -33 + 7x = 5x + 5 Reorder the terms: -33 + 7x = 5 + 5x Solving -33 + 7x = 5 + 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. -33 + 7x + -5x = 5 + 5x + -5x Combine like terms: 7x + -5x = 2x -33 + 2x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -33 + 2x = 5 + 0 -33 + 2x = 5 Add '33' to each side of the equation. -33 + 33 + 2x = 5 + 33 Combine like terms: -33 + 33 = 0 0 + 2x = 5 + 33 2x = 5 + 33 Combine like terms: 5 + 33 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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