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Simplifying 6x + 7 = -89 + 10x Reorder the terms: 7 + 6x = -89 + 10x Solving 7 + 6x = -89 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + 6x + -10x = -89 + 10x + -10x Combine like terms: 6x + -10x = -4x 7 + -4x = -89 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -4x = -89 + 0 7 + -4x = -89 Add '-7' to each side of the equation. 7 + -7 + -4x = -89 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -89 + -7 -4x = -89 + -7 Combine like terms: -89 + -7 = -96 -4x = -96 Divide each side by '-4'. x = 24 Simplifying x = 24
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