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Simplifying -10x + 45 = 2x + -53 Reorder the terms: 45 + -10x = 2x + -53 Reorder the terms: 45 + -10x = -53 + 2x Solving 45 + -10x = -53 + 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 + -10x + -2x = -53 + 2x + -2x Combine like terms: -10x + -2x = -12x 45 + -12x = -53 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -12x = -53 + 0 45 + -12x = -53 Add '-45' to each side of the equation. 45 + -45 + -12x = -53 + -45 Combine like terms: 45 + -45 = 0 0 + -12x = -53 + -45 -12x = -53 + -45 Combine like terms: -53 + -45 = -98 -12x = -98 Divide each side by '-12'. x = 8.166666667 Simplifying x = 8.166666667
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