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Simplifying 107 + -2x = -53 + 6x Solving 107 + -2x = -53 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 107 + -2x + -6x = -53 + 6x + -6x Combine like terms: -2x + -6x = -8x 107 + -8x = -53 + 6x + -6x Combine like terms: 6x + -6x = 0 107 + -8x = -53 + 0 107 + -8x = -53 Add '-107' to each side of the equation. 107 + -107 + -8x = -53 + -107 Combine like terms: 107 + -107 = 0 0 + -8x = -53 + -107 -8x = -53 + -107 Combine like terms: -53 + -107 = -160 -8x = -160 Divide each side by '-8'. x = 20 Simplifying x = 20
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