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Simplifying 15(3x + 4) + -2x = 7x + -3(-2x + 11) Reorder the terms: 15(4 + 3x) + -2x = 7x + -3(-2x + 11) (4 * 15 + 3x * 15) + -2x = 7x + -3(-2x + 11) (60 + 45x) + -2x = 7x + -3(-2x + 11) Combine like terms: 45x + -2x = 43x 60 + 43x = 7x + -3(-2x + 11) Reorder the terms: 60 + 43x = 7x + -3(11 + -2x) 60 + 43x = 7x + (11 * -3 + -2x * -3) 60 + 43x = 7x + (-33 + 6x) Reorder the terms: 60 + 43x = -33 + 7x + 6x Combine like terms: 7x + 6x = 13x 60 + 43x = -33 + 13x Solving 60 + 43x = -33 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 60 + 43x + -13x = -33 + 13x + -13x Combine like terms: 43x + -13x = 30x 60 + 30x = -33 + 13x + -13x Combine like terms: 13x + -13x = 0 60 + 30x = -33 + 0 60 + 30x = -33 Add '-60' to each side of the equation. 60 + -60 + 30x = -33 + -60 Combine like terms: 60 + -60 = 0 0 + 30x = -33 + -60 30x = -33 + -60 Combine like terms: -33 + -60 = -93 30x = -93 Divide each side by '30'. x = -3.1 Simplifying x = -3.1
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