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Simplifying 5 + 5(4x + -3) = 3 + -4(5x + 6) Reorder the terms: 5 + 5(-3 + 4x) = 3 + -4(5x + 6) 5 + (-3 * 5 + 4x * 5) = 3 + -4(5x + 6) 5 + (-15 + 20x) = 3 + -4(5x + 6) Combine like terms: 5 + -15 = -10 -10 + 20x = 3 + -4(5x + 6) Reorder the terms: -10 + 20x = 3 + -4(6 + 5x) -10 + 20x = 3 + (6 * -4 + 5x * -4) -10 + 20x = 3 + (-24 + -20x) Combine like terms: 3 + -24 = -21 -10 + 20x = -21 + -20x Solving -10 + 20x = -21 + -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. -10 + 20x + 20x = -21 + -20x + 20x Combine like terms: 20x + 20x = 40x -10 + 40x = -21 + -20x + 20x Combine like terms: -20x + 20x = 0 -10 + 40x = -21 + 0 -10 + 40x = -21 Add '10' to each side of the equation. -10 + 10 + 40x = -21 + 10 Combine like terms: -10 + 10 = 0 0 + 40x = -21 + 10 40x = -21 + 10 Combine like terms: -21 + 10 = -11 40x = -11 Divide each side by '40'. x = -0.275 Simplifying x = -0.275
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