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Simplifying 5(2x + 3) + -4(2 + -3x) = 2(2 + 3x) Reorder the terms: 5(3 + 2x) + -4(2 + -3x) = 2(2 + 3x) (3 * 5 + 2x * 5) + -4(2 + -3x) = 2(2 + 3x) (15 + 10x) + -4(2 + -3x) = 2(2 + 3x) 15 + 10x + (2 * -4 + -3x * -4) = 2(2 + 3x) 15 + 10x + (-8 + 12x) = 2(2 + 3x) Reorder the terms: 15 + -8 + 10x + 12x = 2(2 + 3x) Combine like terms: 15 + -8 = 7 7 + 10x + 12x = 2(2 + 3x) Combine like terms: 10x + 12x = 22x 7 + 22x = 2(2 + 3x) 7 + 22x = (2 * 2 + 3x * 2) 7 + 22x = (4 + 6x) Solving 7 + 22x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 22x + -6x = 4 + 6x + -6x Combine like terms: 22x + -6x = 16x 7 + 16x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 16x = 4 + 0 7 + 16x = 4 Add '-7' to each side of the equation. 7 + -7 + 16x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 16x = 4 + -7 16x = 4 + -7 Combine like terms: 4 + -7 = -3 16x = -3 Divide each side by '16'. x = -0.1875 Simplifying x = -0.1875
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