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Simplifying -16(x + 3) + 5(4x + -5) = 3(x + -5) + 11 Reorder the terms: -16(3 + x) + 5(4x + -5) = 3(x + -5) + 11 (3 * -16 + x * -16) + 5(4x + -5) = 3(x + -5) + 11 (-48 + -16x) + 5(4x + -5) = 3(x + -5) + 11 Reorder the terms: -48 + -16x + 5(-5 + 4x) = 3(x + -5) + 11 -48 + -16x + (-5 * 5 + 4x * 5) = 3(x + -5) + 11 -48 + -16x + (-25 + 20x) = 3(x + -5) + 11 Reorder the terms: -48 + -25 + -16x + 20x = 3(x + -5) + 11 Combine like terms: -48 + -25 = -73 -73 + -16x + 20x = 3(x + -5) + 11 Combine like terms: -16x + 20x = 4x -73 + 4x = 3(x + -5) + 11 Reorder the terms: -73 + 4x = 3(-5 + x) + 11 -73 + 4x = (-5 * 3 + x * 3) + 11 -73 + 4x = (-15 + 3x) + 11 Reorder the terms: -73 + 4x = -15 + 11 + 3x Combine like terms: -15 + 11 = -4 -73 + 4x = -4 + 3x Solving -73 + 4x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -73 + 4x + -3x = -4 + 3x + -3x Combine like terms: 4x + -3x = 1x -73 + 1x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -73 + 1x = -4 + 0 -73 + 1x = -4 Add '73' to each side of the equation. -73 + 73 + 1x = -4 + 73 Combine like terms: -73 + 73 = 0 0 + 1x = -4 + 73 1x = -4 + 73 Combine like terms: -4 + 73 = 69 1x = 69 Divide each side by '1'. x = 69 Simplifying x = 69
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