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Simplifying -11(x + 3) + 4(4x + -3) = 4(x + -6) + 8 Reorder the terms: -11(3 + x) + 4(4x + -3) = 4(x + -6) + 8 (3 * -11 + x * -11) + 4(4x + -3) = 4(x + -6) + 8 (-33 + -11x) + 4(4x + -3) = 4(x + -6) + 8 Reorder the terms: -33 + -11x + 4(-3 + 4x) = 4(x + -6) + 8 -33 + -11x + (-3 * 4 + 4x * 4) = 4(x + -6) + 8 -33 + -11x + (-12 + 16x) = 4(x + -6) + 8 Reorder the terms: -33 + -12 + -11x + 16x = 4(x + -6) + 8 Combine like terms: -33 + -12 = -45 -45 + -11x + 16x = 4(x + -6) + 8 Combine like terms: -11x + 16x = 5x -45 + 5x = 4(x + -6) + 8 Reorder the terms: -45 + 5x = 4(-6 + x) + 8 -45 + 5x = (-6 * 4 + x * 4) + 8 -45 + 5x = (-24 + 4x) + 8 Reorder the terms: -45 + 5x = -24 + 8 + 4x Combine like terms: -24 + 8 = -16 -45 + 5x = -16 + 4x Solving -45 + 5x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -45 + 5x + -4x = -16 + 4x + -4x Combine like terms: 5x + -4x = 1x -45 + 1x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 1x = -16 + 0 -45 + 1x = -16 Add '45' to each side of the equation. -45 + 45 + 1x = -16 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = -16 + 45 1x = -16 + 45 Combine like terms: -16 + 45 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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