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Simplifying 5(3x + -4) = 2 + -2x Reorder the terms: 5(-4 + 3x) = 2 + -2x (-4 * 5 + 3x * 5) = 2 + -2x (-20 + 15x) = 2 + -2x Solving -20 + 15x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + 15x + 2x = 2 + -2x + 2x Combine like terms: 15x + 2x = 17x -20 + 17x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 17x = 2 + 0 -20 + 17x = 2 Add '20' to each side of the equation. -20 + 20 + 17x = 2 + 20 Combine like terms: -20 + 20 = 0 0 + 17x = 2 + 20 17x = 2 + 20 Combine like terms: 2 + 20 = 22 17x = 22 Divide each side by '17'. x = 1.294117647 Simplifying x = 1.294117647
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