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Simplifying 4x + -2 = 14x + -47 Reorder the terms: -2 + 4x = 14x + -47 Reorder the terms: -2 + 4x = -47 + 14x Solving -2 + 4x = -47 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -2 + 4x + -14x = -47 + 14x + -14x Combine like terms: 4x + -14x = -10x -2 + -10x = -47 + 14x + -14x Combine like terms: 14x + -14x = 0 -2 + -10x = -47 + 0 -2 + -10x = -47 Add '2' to each side of the equation. -2 + 2 + -10x = -47 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = -47 + 2 -10x = -47 + 2 Combine like terms: -47 + 2 = -45 -10x = -45 Divide each side by '-10'. x = 4.5 Simplifying x = 4.5
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