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Simplifying 2(4x + -5) = 3(x + 7) + -11x + -3 Reorder the terms: 2(-5 + 4x) = 3(x + 7) + -11x + -3 (-5 * 2 + 4x * 2) = 3(x + 7) + -11x + -3 (-10 + 8x) = 3(x + 7) + -11x + -3 Reorder the terms: -10 + 8x = 3(7 + x) + -11x + -3 -10 + 8x = (7 * 3 + x * 3) + -11x + -3 -10 + 8x = (21 + 3x) + -11x + -3 Reorder the terms: -10 + 8x = 21 + -3 + 3x + -11x Combine like terms: 21 + -3 = 18 -10 + 8x = 18 + 3x + -11x Combine like terms: 3x + -11x = -8x -10 + 8x = 18 + -8x Solving -10 + 8x = 18 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + 8x + 8x = 18 + -8x + 8x Combine like terms: 8x + 8x = 16x -10 + 16x = 18 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 16x = 18 + 0 -10 + 16x = 18 Add '10' to each side of the equation. -10 + 10 + 16x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = 18 + 10 16x = 18 + 10 Combine like terms: 18 + 10 = 28 16x = 28 Divide each side by '16'. x = 1.75 Simplifying x = 1.75
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