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Simplifying -7(x + 3) + 4(3x + -4) = 4(x + -3) + 11 Reorder the terms: -7(3 + x) + 4(3x + -4) = 4(x + -3) + 11 (3 * -7 + x * -7) + 4(3x + -4) = 4(x + -3) + 11 (-21 + -7x) + 4(3x + -4) = 4(x + -3) + 11 Reorder the terms: -21 + -7x + 4(-4 + 3x) = 4(x + -3) + 11 -21 + -7x + (-4 * 4 + 3x * 4) = 4(x + -3) + 11 -21 + -7x + (-16 + 12x) = 4(x + -3) + 11 Reorder the terms: -21 + -16 + -7x + 12x = 4(x + -3) + 11 Combine like terms: -21 + -16 = -37 -37 + -7x + 12x = 4(x + -3) + 11 Combine like terms: -7x + 12x = 5x -37 + 5x = 4(x + -3) + 11 Reorder the terms: -37 + 5x = 4(-3 + x) + 11 -37 + 5x = (-3 * 4 + x * 4) + 11 -37 + 5x = (-12 + 4x) + 11 Reorder the terms: -37 + 5x = -12 + 11 + 4x Combine like terms: -12 + 11 = -1 -37 + 5x = -1 + 4x Solving -37 + 5x = -1 + 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. -37 + 5x + -4x = -1 + 4x + -4x Combine like terms: 5x + -4x = 1x -37 + 1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -37 + 1x = -1 + 0 -37 + 1x = -1 Add '37' to each side of the equation. -37 + 37 + 1x = -1 + 37 Combine like terms: -37 + 37 = 0 0 + 1x = -1 + 37 1x = -1 + 37 Combine like terms: -1 + 37 = 36 1x = 36 Divide each side by '1'. x = 36 Simplifying x = 36
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