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Simplifying -7(x + 2) + 4(3x + -6) = 4(x + -5) + 11 Reorder the terms: -7(2 + x) + 4(3x + -6) = 4(x + -5) + 11 (2 * -7 + x * -7) + 4(3x + -6) = 4(x + -5) + 11 (-14 + -7x) + 4(3x + -6) = 4(x + -5) + 11 Reorder the terms: -14 + -7x + 4(-6 + 3x) = 4(x + -5) + 11 -14 + -7x + (-6 * 4 + 3x * 4) = 4(x + -5) + 11 -14 + -7x + (-24 + 12x) = 4(x + -5) + 11 Reorder the terms: -14 + -24 + -7x + 12x = 4(x + -5) + 11 Combine like terms: -14 + -24 = -38 -38 + -7x + 12x = 4(x + -5) + 11 Combine like terms: -7x + 12x = 5x -38 + 5x = 4(x + -5) + 11 Reorder the terms: -38 + 5x = 4(-5 + x) + 11 -38 + 5x = (-5 * 4 + x * 4) + 11 -38 + 5x = (-20 + 4x) + 11 Reorder the terms: -38 + 5x = -20 + 11 + 4x Combine like terms: -20 + 11 = -9 -38 + 5x = -9 + 4x Solving -38 + 5x = -9 + 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. -38 + 5x + -4x = -9 + 4x + -4x Combine like terms: 5x + -4x = 1x -38 + 1x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -38 + 1x = -9 + 0 -38 + 1x = -9 Add '38' to each side of the equation. -38 + 38 + 1x = -9 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = -9 + 38 1x = -9 + 38 Combine like terms: -9 + 38 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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