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Simplifying 5(4x + -2) + 3(2x + 3) = 2x + -49 Reorder the terms: 5(-2 + 4x) + 3(2x + 3) = 2x + -49 (-2 * 5 + 4x * 5) + 3(2x + 3) = 2x + -49 (-10 + 20x) + 3(2x + 3) = 2x + -49 Reorder the terms: -10 + 20x + 3(3 + 2x) = 2x + -49 -10 + 20x + (3 * 3 + 2x * 3) = 2x + -49 -10 + 20x + (9 + 6x) = 2x + -49 Reorder the terms: -10 + 9 + 20x + 6x = 2x + -49 Combine like terms: -10 + 9 = -1 -1 + 20x + 6x = 2x + -49 Combine like terms: 20x + 6x = 26x -1 + 26x = 2x + -49 Reorder the terms: -1 + 26x = -49 + 2x Solving -1 + 26x = -49 + 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. -1 + 26x + -2x = -49 + 2x + -2x Combine like terms: 26x + -2x = 24x -1 + 24x = -49 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 24x = -49 + 0 -1 + 24x = -49 Add '1' to each side of the equation. -1 + 1 + 24x = -49 + 1 Combine like terms: -1 + 1 = 0 0 + 24x = -49 + 1 24x = -49 + 1 Combine like terms: -49 + 1 = -48 24x = -48 Divide each side by '24'. x = -2 Simplifying x = -2
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