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Simplifying 5(3x + 4) + -2x = 7x + -3(-12x + 11) Reorder the terms: 5(4 + 3x) + -2x = 7x + -3(-12x + 11) (4 * 5 + 3x * 5) + -2x = 7x + -3(-12x + 11) (20 + 15x) + -2x = 7x + -3(-12x + 11) Combine like terms: 15x + -2x = 13x 20 + 13x = 7x + -3(-12x + 11) Reorder the terms: 20 + 13x = 7x + -3(11 + -12x) 20 + 13x = 7x + (11 * -3 + -12x * -3) 20 + 13x = 7x + (-33 + 36x) Reorder the terms: 20 + 13x = -33 + 7x + 36x Combine like terms: 7x + 36x = 43x 20 + 13x = -33 + 43x Solving 20 + 13x = -33 + 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. 20 + 13x + -43x = -33 + 43x + -43x Combine like terms: 13x + -43x = -30x 20 + -30x = -33 + 43x + -43x Combine like terms: 43x + -43x = 0 20 + -30x = -33 + 0 20 + -30x = -33 Add '-20' to each side of the equation. 20 + -20 + -30x = -33 + -20 Combine like terms: 20 + -20 = 0 0 + -30x = -33 + -20 -30x = -33 + -20 Combine like terms: -33 + -20 = -53 -30x = -53 Divide each side by '-30'. x = 1.766666667 Simplifying x = 1.766666667
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