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Simplifying 5(3x + 4) + -2x = 7x + -3(2x + 11) Reorder the terms: 5(4 + 3x) + -2x = 7x + -3(2x + 11) (4 * 5 + 3x * 5) + -2x = 7x + -3(2x + 11) (20 + 15x) + -2x = 7x + -3(2x + 11) Combine like terms: 15x + -2x = 13x 20 + 13x = 7x + -3(2x + 11) Reorder the terms: 20 + 13x = 7x + -3(11 + 2x) 20 + 13x = 7x + (11 * -3 + 2x * -3) 20 + 13x = 7x + (-33 + -6x) Reorder the terms: 20 + 13x = -33 + 7x + -6x Combine like terms: 7x + -6x = 1x 20 + 13x = -33 + 1x Solving 20 + 13x = -33 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + 13x + -1x = -33 + 1x + -1x Combine like terms: 13x + -1x = 12x 20 + 12x = -33 + 1x + -1x Combine like terms: 1x + -1x = 0 20 + 12x = -33 + 0 20 + 12x = -33 Add '-20' to each side of the equation. 20 + -20 + 12x = -33 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = -33 + -20 12x = -33 + -20 Combine like terms: -33 + -20 = -53 12x = -53 Divide each side by '12'. x = -4.416666667 Simplifying x = -4.416666667
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