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Simplifying 5(3x + -4) = 5(x + -14) Reorder the terms: 5(-4 + 3x) = 5(x + -14) (-4 * 5 + 3x * 5) = 5(x + -14) (-20 + 15x) = 5(x + -14) Reorder the terms: -20 + 15x = 5(-14 + x) -20 + 15x = (-14 * 5 + x * 5) -20 + 15x = (-70 + 5x) Solving -20 + 15x = -70 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20 + 15x + -5x = -70 + 5x + -5x Combine like terms: 15x + -5x = 10x -20 + 10x = -70 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 10x = -70 + 0 -20 + 10x = -70 Add '20' to each side of the equation. -20 + 20 + 10x = -70 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = -70 + 20 10x = -70 + 20 Combine like terms: -70 + 20 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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