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Simplifying 8x + -7 = 6 + 2(10x + -3) Reorder the terms: -7 + 8x = 6 + 2(10x + -3) Reorder the terms: -7 + 8x = 6 + 2(-3 + 10x) -7 + 8x = 6 + (-3 * 2 + 10x * 2) -7 + 8x = 6 + (-6 + 20x) Combine like terms: 6 + -6 = 0 -7 + 8x = 0 + 20x -7 + 8x = 20x Solving -7 + 8x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -7 + 8x + -20x = 20x + -20x Combine like terms: 8x + -20x = -12x -7 + -12x = 20x + -20x Combine like terms: 20x + -20x = 0 -7 + -12x = 0 Add '7' to each side of the equation. -7 + 7 + -12x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -12x = 0 + 7 -12x = 0 + 7 Combine like terms: 0 + 7 = 7 -12x = 7 Divide each side by '-12'. x = -0.5833333333 Simplifying x = -0.5833333333
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