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Simplifying 5(x + 4) + -2x = 7x + -1(-2x + 11) Reorder the terms: 5(4 + x) + -2x = 7x + -1(-2x + 11) (4 * 5 + x * 5) + -2x = 7x + -1(-2x + 11) (20 + 5x) + -2x = 7x + -1(-2x + 11) Combine like terms: 5x + -2x = 3x 20 + 3x = 7x + -1(-2x + 11) Reorder the terms: 20 + 3x = 7x + -1(11 + -2x) 20 + 3x = 7x + (11 * -1 + -2x * -1) 20 + 3x = 7x + (-11 + 2x) Reorder the terms: 20 + 3x = -11 + 7x + 2x Combine like terms: 7x + 2x = 9x 20 + 3x = -11 + 9x Solving 20 + 3x = -11 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 20 + 3x + -9x = -11 + 9x + -9x Combine like terms: 3x + -9x = -6x 20 + -6x = -11 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + -6x = -11 + 0 20 + -6x = -11 Add '-20' to each side of the equation. 20 + -20 + -6x = -11 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -11 + -20 -6x = -11 + -20 Combine like terms: -11 + -20 = -31 -6x = -31 Divide each side by '-6'. x = 5.166666667 Simplifying x = 5.166666667
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