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Simplifying 2(5x + -8) + -7 = 4(1 + -2x) + -3(X + 2) Reorder the terms: 2(-8 + 5x) + -7 = 4(1 + -2x) + -3(X + 2) (-8 * 2 + 5x * 2) + -7 = 4(1 + -2x) + -3(X + 2) (-16 + 10x) + -7 = 4(1 + -2x) + -3(X + 2) Reorder the terms: -16 + -7 + 10x = 4(1 + -2x) + -3(X + 2) Combine like terms: -16 + -7 = -23 -23 + 10x = 4(1 + -2x) + -3(X + 2) -23 + 10x = (1 * 4 + -2x * 4) + -3(X + 2) -23 + 10x = (4 + -8x) + -3(X + 2) Reorder the terms: -23 + 10x = 4 + -8x + -3(2 + X) -23 + 10x = 4 + -8x + (2 * -3 + X * -3) -23 + 10x = 4 + -8x + (-6 + -3X) Reorder the terms: -23 + 10x = 4 + -6 + -3X + -8x Combine like terms: 4 + -6 = -2 -23 + 10x = -2 + -3X + -8x Solving -23 + 10x = -2 + -3X + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -23 + 10x + 8x = -2 + -3X + -8x + 8x Combine like terms: 10x + 8x = 18x -23 + 18x = -2 + -3X + -8x + 8x Combine like terms: -8x + 8x = 0 -23 + 18x = -2 + -3X + 0 -23 + 18x = -2 + -3X Add '23' to each side of the equation. -23 + 23 + 18x = -2 + 23 + -3X Combine like terms: -23 + 23 = 0 0 + 18x = -2 + 23 + -3X 18x = -2 + 23 + -3X Combine like terms: -2 + 23 = 21 18x = 21 + -3X Divide each side by '18'. x = 1.166666667 + -0.1666666667X Simplifying x = 1.166666667 + -0.1666666667X
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