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Simplifying 45 + -6x = 2x + -10 Reorder the terms: 45 + -6x = -10 + 2x Solving 45 + -6x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 45 + -6x + -2x = -10 + 2x + -2x Combine like terms: -6x + -2x = -8x 45 + -8x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -8x = -10 + 0 45 + -8x = -10 Add '-45' to each side of the equation. 45 + -45 + -8x = -10 + -45 Combine like terms: 45 + -45 = 0 0 + -8x = -10 + -45 -8x = -10 + -45 Combine like terms: -10 + -45 = -55 -8x = -55 Divide each side by '-8'. x = 6.875 Simplifying x = 6.875
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