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Simplifying -7(x + 1) + 4(3x + -5) = 4(x + -3) + 14 Reorder the terms: -7(1 + x) + 4(3x + -5) = 4(x + -3) + 14 (1 * -7 + x * -7) + 4(3x + -5) = 4(x + -3) + 14 (-7 + -7x) + 4(3x + -5) = 4(x + -3) + 14 Reorder the terms: -7 + -7x + 4(-5 + 3x) = 4(x + -3) + 14 -7 + -7x + (-5 * 4 + 3x * 4) = 4(x + -3) + 14 -7 + -7x + (-20 + 12x) = 4(x + -3) + 14 Reorder the terms: -7 + -20 + -7x + 12x = 4(x + -3) + 14 Combine like terms: -7 + -20 = -27 -27 + -7x + 12x = 4(x + -3) + 14 Combine like terms: -7x + 12x = 5x -27 + 5x = 4(x + -3) + 14 Reorder the terms: -27 + 5x = 4(-3 + x) + 14 -27 + 5x = (-3 * 4 + x * 4) + 14 -27 + 5x = (-12 + 4x) + 14 Reorder the terms: -27 + 5x = -12 + 14 + 4x Combine like terms: -12 + 14 = 2 -27 + 5x = 2 + 4x Solving -27 + 5x = 2 + 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. -27 + 5x + -4x = 2 + 4x + -4x Combine like terms: 5x + -4x = 1x -27 + 1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 1x = 2 + 0 -27 + 1x = 2 Add '27' to each side of the equation. -27 + 27 + 1x = 2 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 2 + 27 1x = 2 + 27 Combine like terms: 2 + 27 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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