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Simplifying 5 + 4(x + -7) = 8 + -3(x + -1) Reorder the terms: 5 + 4(-7 + x) = 8 + -3(x + -1) 5 + (-7 * 4 + x * 4) = 8 + -3(x + -1) 5 + (-28 + 4x) = 8 + -3(x + -1) Combine like terms: 5 + -28 = -23 -23 + 4x = 8 + -3(x + -1) Reorder the terms: -23 + 4x = 8 + -3(-1 + x) -23 + 4x = 8 + (-1 * -3 + x * -3) -23 + 4x = 8 + (3 + -3x) Combine like terms: 8 + 3 = 11 -23 + 4x = 11 + -3x Solving -23 + 4x = 11 + -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 + 4x + 3x = 11 + -3x + 3x Combine like terms: 4x + 3x = 7x -23 + 7x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -23 + 7x = 11 + 0 -23 + 7x = 11 Add '23' to each side of the equation. -23 + 23 + 7x = 11 + 23 Combine like terms: -23 + 23 = 0 0 + 7x = 11 + 23 7x = 11 + 23 Combine like terms: 11 + 23 = 34 7x = 34 Divide each side by '7'. x = 4.857142857 Simplifying x = 4.857142857
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