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Simplifying 1x + 10 = 7x + -14 Reorder the terms: 10 + 1x = 7x + -14 Reorder the terms: 10 + 1x = -14 + 7x Solving 10 + 1x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 1x + -7x = -14 + 7x + -7x Combine like terms: 1x + -7x = -6x 10 + -6x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -6x = -14 + 0 10 + -6x = -14 Add '-10' to each side of the equation. 10 + -10 + -6x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -14 + -10 -6x = -14 + -10 Combine like terms: -14 + -10 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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