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Simplifying 5 + 8(x + -7) = 4 + -5(x + -7) Reorder the terms: 5 + 8(-7 + x) = 4 + -5(x + -7) 5 + (-7 * 8 + x * 8) = 4 + -5(x + -7) 5 + (-56 + 8x) = 4 + -5(x + -7) Combine like terms: 5 + -56 = -51 -51 + 8x = 4 + -5(x + -7) Reorder the terms: -51 + 8x = 4 + -5(-7 + x) -51 + 8x = 4 + (-7 * -5 + x * -5) -51 + 8x = 4 + (35 + -5x) Combine like terms: 4 + 35 = 39 -51 + 8x = 39 + -5x Solving -51 + 8x = 39 + -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. -51 + 8x + 5x = 39 + -5x + 5x Combine like terms: 8x + 5x = 13x -51 + 13x = 39 + -5x + 5x Combine like terms: -5x + 5x = 0 -51 + 13x = 39 + 0 -51 + 13x = 39 Add '51' to each side of the equation. -51 + 51 + 13x = 39 + 51 Combine like terms: -51 + 51 = 0 0 + 13x = 39 + 51 13x = 39 + 51 Combine like terms: 39 + 51 = 90 13x = 90 Divide each side by '13'. x = 6.923076923 Simplifying x = 6.923076923
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