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Simplifying 5 + 4(5x + -7) = 3x + -6 Reorder the terms: 5 + 4(-7 + 5x) = 3x + -6 5 + (-7 * 4 + 5x * 4) = 3x + -6 5 + (-28 + 20x) = 3x + -6 Combine like terms: 5 + -28 = -23 -23 + 20x = 3x + -6 Reorder the terms: -23 + 20x = -6 + 3x Solving -23 + 20x = -6 + 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. -23 + 20x + -3x = -6 + 3x + -3x Combine like terms: 20x + -3x = 17x -23 + 17x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + 17x = -6 + 0 -23 + 17x = -6 Add '23' to each side of the equation. -23 + 23 + 17x = -6 + 23 Combine like terms: -23 + 23 = 0 0 + 17x = -6 + 23 17x = -6 + 23 Combine like terms: -6 + 23 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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