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Simplifying x + 8 = 5(3x + -4) Reorder the terms: 8 + x = 5(3x + -4) Reorder the terms: 8 + x = 5(-4 + 3x) 8 + x = (-4 * 5 + 3x * 5) 8 + x = (-20 + 15x) Solving 8 + x = -20 + 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. 8 + x + -15x = -20 + 15x + -15x Combine like terms: x + -15x = -14x 8 + -14x = -20 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -14x = -20 + 0 8 + -14x = -20 Add '-8' to each side of the equation. 8 + -8 + -14x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = -20 + -8 -14x = -20 + -8 Combine like terms: -20 + -8 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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