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Simplifying 10 + -5(3x + 1) = 5(x + -4) Reorder the terms: 10 + -5(1 + 3x) = 5(x + -4) 10 + (1 * -5 + 3x * -5) = 5(x + -4) 10 + (-5 + -15x) = 5(x + -4) Combine like terms: 10 + -5 = 5 5 + -15x = 5(x + -4) Reorder the terms: 5 + -15x = 5(-4 + x) 5 + -15x = (-4 * 5 + x * 5) 5 + -15x = (-20 + 5x) Solving 5 + -15x = -20 + 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. 5 + -15x + -5x = -20 + 5x + -5x Combine like terms: -15x + -5x = -20x 5 + -20x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -20x = -20 + 0 5 + -20x = -20 Add '-5' to each side of the equation. 5 + -5 + -20x = -20 + -5 Combine like terms: 5 + -5 = 0 0 + -20x = -20 + -5 -20x = -20 + -5 Combine like terms: -20 + -5 = -25 -20x = -25 Divide each side by '-20'. x = 1.25 Simplifying x = 1.25
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