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Simplifying 7x + -75 = 3(x + -8) + 5 Reorder the terms: -75 + 7x = 3(x + -8) + 5 Reorder the terms: -75 + 7x = 3(-8 + x) + 5 -75 + 7x = (-8 * 3 + x * 3) + 5 -75 + 7x = (-24 + 3x) + 5 Reorder the terms: -75 + 7x = -24 + 5 + 3x Combine like terms: -24 + 5 = -19 -75 + 7x = -19 + 3x Solving -75 + 7x = -19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -75 + 7x + -3x = -19 + 3x + -3x Combine like terms: 7x + -3x = 4x -75 + 4x = -19 + 3x + -3x Combine like terms: 3x + -3x = 0 -75 + 4x = -19 + 0 -75 + 4x = -19 Add '75' to each side of the equation. -75 + 75 + 4x = -19 + 75 Combine like terms: -75 + 75 = 0 0 + 4x = -19 + 75 4x = -19 + 75 Combine like terms: -19 + 75 = 56 4x = 56 Divide each side by '4'. x = 14 Simplifying x = 14
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