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Simplifying 7(x + -2) = 5(3x + -8) Reorder the terms: 7(-2 + x) = 5(3x + -8) (-2 * 7 + x * 7) = 5(3x + -8) (-14 + 7x) = 5(3x + -8) Reorder the terms: -14 + 7x = 5(-8 + 3x) -14 + 7x = (-8 * 5 + 3x * 5) -14 + 7x = (-40 + 15x) Solving -14 + 7x = -40 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -14 + 7x + -15x = -40 + 15x + -15x Combine like terms: 7x + -15x = -8x -14 + -8x = -40 + 15x + -15x Combine like terms: 15x + -15x = 0 -14 + -8x = -40 + 0 -14 + -8x = -40 Add '14' to each side of the equation. -14 + 14 + -8x = -40 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = -40 + 14 -8x = -40 + 14 Combine like terms: -40 + 14 = -26 -8x = -26 Divide each side by '-8'. x = 3.25 Simplifying x = 3.25
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