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Simplifying 5(2X + 3) = 43(4x + 1) + -2(3x + 2) Reorder the terms: 5(3 + 2X) = 43(4x + 1) + -2(3x + 2) (3 * 5 + 2X * 5) = 43(4x + 1) + -2(3x + 2) (15 + 10X) = 43(4x + 1) + -2(3x + 2) Reorder the terms: 15 + 10X = 43(1 + 4x) + -2(3x + 2) 15 + 10X = (1 * 43 + 4x * 43) + -2(3x + 2) 15 + 10X = (43 + 172x) + -2(3x + 2) Reorder the terms: 15 + 10X = 43 + 172x + -2(2 + 3x) 15 + 10X = 43 + 172x + (2 * -2 + 3x * -2) 15 + 10X = 43 + 172x + (-4 + -6x) Reorder the terms: 15 + 10X = 43 + -4 + 172x + -6x Combine like terms: 43 + -4 = 39 15 + 10X = 39 + 172x + -6x Combine like terms: 172x + -6x = 166x 15 + 10X = 39 + 166x Solving 15 + 10X = 39 + 166x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 10X = 39 + -15 + 166x Combine like terms: 15 + -15 = 0 0 + 10X = 39 + -15 + 166x 10X = 39 + -15 + 166x Combine like terms: 39 + -15 = 24 10X = 24 + 166x Divide each side by '10'. X = 2.4 + 16.6x Simplifying X = 2.4 + 16.6x
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