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Simplifying 4x + -2 + 3 = 7x + x + 14 Reorder the terms: -2 + 3 + 4x = 7x + x + 14 Combine like terms: -2 + 3 = 1 1 + 4x = 7x + x + 14 Reorder the terms: 1 + 4x = 14 + 7x + x Combine like terms: 7x + x = 8x 1 + 4x = 14 + 8x Solving 1 + 4x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 4x + -8x = 14 + 8x + -8x Combine like terms: 4x + -8x = -4x 1 + -4x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -4x = 14 + 0 1 + -4x = 14 Add '-1' to each side of the equation. 1 + -1 + -4x = 14 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 14 + -1 -4x = 14 + -1 Combine like terms: 14 + -1 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25
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