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Simplifying 10 + -10x = 42 + -7x Solving 10 + -10x = 42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 10 + -10x + 7x = 42 + -7x + 7x Combine like terms: -10x + 7x = -3x 10 + -3x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + -3x = 42 + 0 10 + -3x = 42 Add '-10' to each side of the equation. 10 + -10 + -3x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 42 + -10 -3x = 42 + -10 Combine like terms: 42 + -10 = 32 -3x = 32 Divide each side by '-3'. x = -10.66666667 Simplifying x = -10.66666667
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