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Simplifying 5(2x + -3) + -2(4x + 1) = 4 Reorder the terms: 5(-3 + 2x) + -2(4x + 1) = 4 (-3 * 5 + 2x * 5) + -2(4x + 1) = 4 (-15 + 10x) + -2(4x + 1) = 4 Reorder the terms: -15 + 10x + -2(1 + 4x) = 4 -15 + 10x + (1 * -2 + 4x * -2) = 4 -15 + 10x + (-2 + -8x) = 4 Reorder the terms: -15 + -2 + 10x + -8x = 4 Combine like terms: -15 + -2 = -17 -17 + 10x + -8x = 4 Combine like terms: 10x + -8x = 2x -17 + 2x = 4 Solving -17 + 2x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 2x = 4 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 4 + 17 2x = 4 + 17 Combine like terms: 4 + 17 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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