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Simplifying 3x + 127 = 10x + -13 Reorder the terms: 127 + 3x = 10x + -13 Reorder the terms: 127 + 3x = -13 + 10x Solving 127 + 3x = -13 + 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. 127 + 3x + -10x = -13 + 10x + -10x Combine like terms: 3x + -10x = -7x 127 + -7x = -13 + 10x + -10x Combine like terms: 10x + -10x = 0 127 + -7x = -13 + 0 127 + -7x = -13 Add '-127' to each side of the equation. 127 + -127 + -7x = -13 + -127 Combine like terms: 127 + -127 = 0 0 + -7x = -13 + -127 -7x = -13 + -127 Combine like terms: -13 + -127 = -140 -7x = -140 Divide each side by '-7'. x = 20 Simplifying x = 20
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