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Simplifying 0.5(28x + -10) = 3(4x + -1) Reorder the terms: 0.5(-10 + 28x) = 3(4x + -1) (-10 * 0.5 + 28x * 0.5) = 3(4x + -1) (-5 + 14x) = 3(4x + -1) Reorder the terms: -5 + 14x = 3(-1 + 4x) -5 + 14x = (-1 * 3 + 4x * 3) -5 + 14x = (-3 + 12x) Solving -5 + 14x = -3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 14x + -12x = -3 + 12x + -12x Combine like terms: 14x + -12x = 2x -5 + 2x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + 2x = -3 + 0 -5 + 2x = -3 Add '5' to each side of the equation. -5 + 5 + 2x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -3 + 5 2x = -3 + 5 Combine like terms: -3 + 5 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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