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Simplifying 2(x + 7) + -34 = 4x + -11x + 4(x + -11) Reorder the terms: 2(7 + x) + -34 = 4x + -11x + 4(x + -11) (7 * 2 + x * 2) + -34 = 4x + -11x + 4(x + -11) (14 + 2x) + -34 = 4x + -11x + 4(x + -11) Reorder the terms: 14 + -34 + 2x = 4x + -11x + 4(x + -11) Combine like terms: 14 + -34 = -20 -20 + 2x = 4x + -11x + 4(x + -11) Reorder the terms: -20 + 2x = 4x + -11x + 4(-11 + x) -20 + 2x = 4x + -11x + (-11 * 4 + x * 4) -20 + 2x = 4x + -11x + (-44 + 4x) Reorder the terms: -20 + 2x = -44 + 4x + -11x + 4x Combine like terms: 4x + -11x = -7x -20 + 2x = -44 + -7x + 4x Combine like terms: -7x + 4x = -3x -20 + 2x = -44 + -3x Solving -20 + 2x = -44 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + 2x + 3x = -44 + -3x + 3x Combine like terms: 2x + 3x = 5x -20 + 5x = -44 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 5x = -44 + 0 -20 + 5x = -44 Add '20' to each side of the equation. -20 + 20 + 5x = -44 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = -44 + 20 5x = -44 + 20 Combine like terms: -44 + 20 = -24 5x = -24 Divide each side by '5'. x = -4.8 Simplifying x = -4.8
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