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Simplifying 3(-2x + 4) + 5(4x + -3) = 4(-5x + -2) Reorder the terms: 3(4 + -2x) + 5(4x + -3) = 4(-5x + -2) (4 * 3 + -2x * 3) + 5(4x + -3) = 4(-5x + -2) (12 + -6x) + 5(4x + -3) = 4(-5x + -2) Reorder the terms: 12 + -6x + 5(-3 + 4x) = 4(-5x + -2) 12 + -6x + (-3 * 5 + 4x * 5) = 4(-5x + -2) 12 + -6x + (-15 + 20x) = 4(-5x + -2) Reorder the terms: 12 + -15 + -6x + 20x = 4(-5x + -2) Combine like terms: 12 + -15 = -3 -3 + -6x + 20x = 4(-5x + -2) Combine like terms: -6x + 20x = 14x -3 + 14x = 4(-5x + -2) Reorder the terms: -3 + 14x = 4(-2 + -5x) -3 + 14x = (-2 * 4 + -5x * 4) -3 + 14x = (-8 + -20x) Solving -3 + 14x = -8 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -3 + 14x + 20x = -8 + -20x + 20x Combine like terms: 14x + 20x = 34x -3 + 34x = -8 + -20x + 20x Combine like terms: -20x + 20x = 0 -3 + 34x = -8 + 0 -3 + 34x = -8 Add '3' to each side of the equation. -3 + 3 + 34x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 34x = -8 + 3 34x = -8 + 3 Combine like terms: -8 + 3 = -5 34x = -5 Divide each side by '34'. x = -0.1470588235 Simplifying x = -0.1470588235
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