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Simplifying 7 + 5(x + -8) = 5 + -3(x + -7) Reorder the terms: 7 + 5(-8 + x) = 5 + -3(x + -7) 7 + (-8 * 5 + x * 5) = 5 + -3(x + -7) 7 + (-40 + 5x) = 5 + -3(x + -7) Combine like terms: 7 + -40 = -33 -33 + 5x = 5 + -3(x + -7) Reorder the terms: -33 + 5x = 5 + -3(-7 + x) -33 + 5x = 5 + (-7 * -3 + x * -3) -33 + 5x = 5 + (21 + -3x) Combine like terms: 5 + 21 = 26 -33 + 5x = 26 + -3x Solving -33 + 5x = 26 + -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. -33 + 5x + 3x = 26 + -3x + 3x Combine like terms: 5x + 3x = 8x -33 + 8x = 26 + -3x + 3x Combine like terms: -3x + 3x = 0 -33 + 8x = 26 + 0 -33 + 8x = 26 Add '33' to each side of the equation. -33 + 33 + 8x = 26 + 33 Combine like terms: -33 + 33 = 0 0 + 8x = 26 + 33 8x = 26 + 33 Combine like terms: 26 + 33 = 59 8x = 59 Divide each side by '8'. x = 7.375 Simplifying x = 7.375
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