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Simplifying 5(x + -2) + -4(3x + 3) = 4x + -11 Reorder the terms: 5(-2 + x) + -4(3x + 3) = 4x + -11 (-2 * 5 + x * 5) + -4(3x + 3) = 4x + -11 (-10 + 5x) + -4(3x + 3) = 4x + -11 Reorder the terms: -10 + 5x + -4(3 + 3x) = 4x + -11 -10 + 5x + (3 * -4 + 3x * -4) = 4x + -11 -10 + 5x + (-12 + -12x) = 4x + -11 Reorder the terms: -10 + -12 + 5x + -12x = 4x + -11 Combine like terms: -10 + -12 = -22 -22 + 5x + -12x = 4x + -11 Combine like terms: 5x + -12x = -7x -22 + -7x = 4x + -11 Reorder the terms: -22 + -7x = -11 + 4x Solving -22 + -7x = -11 + 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. -22 + -7x + -4x = -11 + 4x + -4x Combine like terms: -7x + -4x = -11x -22 + -11x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + -11x = -11 + 0 -22 + -11x = -11 Add '22' to each side of the equation. -22 + 22 + -11x = -11 + 22 Combine like terms: -22 + 22 = 0 0 + -11x = -11 + 22 -11x = -11 + 22 Combine like terms: -11 + 22 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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