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Simplifying 7x + -3 = 2(5x + -2) + 6 Reorder the terms: -3 + 7x = 2(5x + -2) + 6 Reorder the terms: -3 + 7x = 2(-2 + 5x) + 6 -3 + 7x = (-2 * 2 + 5x * 2) + 6 -3 + 7x = (-4 + 10x) + 6 Reorder the terms: -3 + 7x = -4 + 6 + 10x Combine like terms: -4 + 6 = 2 -3 + 7x = 2 + 10x Solving -3 + 7x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 7x + -10x = 2 + 10x + -10x Combine like terms: 7x + -10x = -3x -3 + -3x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -3x = 2 + 0 -3 + -3x = 2 Add '3' to each side of the equation. -3 + 3 + -3x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 2 + 3 -3x = 2 + 3 Combine like terms: 2 + 3 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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