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Simplifying 5(x + -8) + 14 = 3(x + -6) Reorder the terms: 5(-8 + x) + 14 = 3(x + -6) (-8 * 5 + x * 5) + 14 = 3(x + -6) (-40 + 5x) + 14 = 3(x + -6) Reorder the terms: -40 + 14 + 5x = 3(x + -6) Combine like terms: -40 + 14 = -26 -26 + 5x = 3(x + -6) Reorder the terms: -26 + 5x = 3(-6 + x) -26 + 5x = (-6 * 3 + x * 3) -26 + 5x = (-18 + 3x) Solving -26 + 5x = -18 + 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. -26 + 5x + -3x = -18 + 3x + -3x Combine like terms: 5x + -3x = 2x -26 + 2x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -26 + 2x = -18 + 0 -26 + 2x = -18 Add '26' to each side of the equation. -26 + 26 + 2x = -18 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = -18 + 26 2x = -18 + 26 Combine like terms: -18 + 26 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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