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Simplifying 4x + 7 + -6x = 5 + -4x + 14 Reorder the terms: 7 + 4x + -6x = 5 + -4x + 14 Combine like terms: 4x + -6x = -2x 7 + -2x = 5 + -4x + 14 Reorder the terms: 7 + -2x = 5 + 14 + -4x Combine like terms: 5 + 14 = 19 7 + -2x = 19 + -4x Solving 7 + -2x = 19 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + -2x + 4x = 19 + -4x + 4x Combine like terms: -2x + 4x = 2x 7 + 2x = 19 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 2x = 19 + 0 7 + 2x = 19 Add '-7' to each side of the equation. 7 + -7 + 2x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 19 + -7 2x = 19 + -7 Combine like terms: 19 + -7 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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