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Simplifying 4x + 10 + -1x = 7x + -14 Reorder the terms: 10 + 4x + -1x = 7x + -14 Combine like terms: 4x + -1x = 3x 10 + 3x = 7x + -14 Reorder the terms: 10 + 3x = -14 + 7x Solving 10 + 3x = -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 + 3x + -7x = -14 + 7x + -7x Combine like terms: 3x + -7x = -4x 10 + -4x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -4x = -14 + 0 10 + -4x = -14 Add '-10' to each side of the equation. 10 + -10 + -4x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -14 + -10 -4x = -14 + -10 Combine like terms: -14 + -10 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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