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Simplifying 5(x + -8) + 7 = 3(x + -7) Reorder the terms: 5(-8 + x) + 7 = 3(x + -7) (-8 * 5 + x * 5) + 7 = 3(x + -7) (-40 + 5x) + 7 = 3(x + -7) Reorder the terms: -40 + 7 + 5x = 3(x + -7) Combine like terms: -40 + 7 = -33 -33 + 5x = 3(x + -7) Reorder the terms: -33 + 5x = 3(-7 + x) -33 + 5x = (-7 * 3 + x * 3) -33 + 5x = (-21 + 3x) Solving -33 + 5x = -21 + 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 = -21 + 3x + -3x Combine like terms: 5x + -3x = 2x -33 + 2x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -33 + 2x = -21 + 0 -33 + 2x = -21 Add '33' to each side of the equation. -33 + 33 + 2x = -21 + 33 Combine like terms: -33 + 33 = 0 0 + 2x = -21 + 33 2x = -21 + 33 Combine like terms: -21 + 33 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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