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Simplifying 45 + -10x = 61 + -4x Solving 45 + -10x = 61 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 45 + -10x + 4x = 61 + -4x + 4x Combine like terms: -10x + 4x = -6x 45 + -6x = 61 + -4x + 4x Combine like terms: -4x + 4x = 0 45 + -6x = 61 + 0 45 + -6x = 61 Add '-45' to each side of the equation. 45 + -45 + -6x = 61 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = 61 + -45 -6x = 61 + -45 Combine like terms: 61 + -45 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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