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Simplifying -16(x + 1) + 5(4x + -6) = 3(x + -6) + 11 Reorder the terms: -16(1 + x) + 5(4x + -6) = 3(x + -6) + 11 (1 * -16 + x * -16) + 5(4x + -6) = 3(x + -6) + 11 (-16 + -16x) + 5(4x + -6) = 3(x + -6) + 11 Reorder the terms: -16 + -16x + 5(-6 + 4x) = 3(x + -6) + 11 -16 + -16x + (-6 * 5 + 4x * 5) = 3(x + -6) + 11 -16 + -16x + (-30 + 20x) = 3(x + -6) + 11 Reorder the terms: -16 + -30 + -16x + 20x = 3(x + -6) + 11 Combine like terms: -16 + -30 = -46 -46 + -16x + 20x = 3(x + -6) + 11 Combine like terms: -16x + 20x = 4x -46 + 4x = 3(x + -6) + 11 Reorder the terms: -46 + 4x = 3(-6 + x) + 11 -46 + 4x = (-6 * 3 + x * 3) + 11 -46 + 4x = (-18 + 3x) + 11 Reorder the terms: -46 + 4x = -18 + 11 + 3x Combine like terms: -18 + 11 = -7 -46 + 4x = -7 + 3x Solving -46 + 4x = -7 + 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. -46 + 4x + -3x = -7 + 3x + -3x Combine like terms: 4x + -3x = 1x -46 + 1x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -46 + 1x = -7 + 0 -46 + 1x = -7 Add '46' to each side of the equation. -46 + 46 + 1x = -7 + 46 Combine like terms: -46 + 46 = 0 0 + 1x = -7 + 46 1x = -7 + 46 Combine like terms: -7 + 46 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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