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Simplifying 4x + 14 = 6x + -24 Reorder the terms: 14 + 4x = 6x + -24 Reorder the terms: 14 + 4x = -24 + 6x Solving 14 + 4x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 4x + -6x = -24 + 6x + -6x Combine like terms: 4x + -6x = -2x 14 + -2x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -2x = -24 + 0 14 + -2x = -24 Add '-14' to each side of the equation. 14 + -14 + -2x = -24 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = -24 + -14 -2x = -24 + -14 Combine like terms: -24 + -14 = -38 -2x = -38 Divide each side by '-2'. x = 19 Simplifying x = 19
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