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Simplifying 11(x + 5) = 4(3x + -3) Reorder the terms: 11(5 + x) = 4(3x + -3) (5 * 11 + x * 11) = 4(3x + -3) (55 + 11x) = 4(3x + -3) Reorder the terms: 55 + 11x = 4(-3 + 3x) 55 + 11x = (-3 * 4 + 3x * 4) 55 + 11x = (-12 + 12x) Solving 55 + 11x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 55 + 11x + -12x = -12 + 12x + -12x Combine like terms: 11x + -12x = -1x 55 + -1x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 55 + -1x = -12 + 0 55 + -1x = -12 Add '-55' to each side of the equation. 55 + -55 + -1x = -12 + -55 Combine like terms: 55 + -55 = 0 0 + -1x = -12 + -55 -1x = -12 + -55 Combine like terms: -12 + -55 = -67 -1x = -67 Divide each side by '-1'. x = 67 Simplifying x = 67
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