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Simplifying 4 + 14x + -42 = 7 + -4x + -12 Reorder the terms: 4 + -42 + 14x = 7 + -4x + -12 Combine like terms: 4 + -42 = -38 -38 + 14x = 7 + -4x + -12 Reorder the terms: -38 + 14x = 7 + -12 + -4x Combine like terms: 7 + -12 = -5 -38 + 14x = -5 + -4x Solving -38 + 14x = -5 + -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. -38 + 14x + 4x = -5 + -4x + 4x Combine like terms: 14x + 4x = 18x -38 + 18x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 -38 + 18x = -5 + 0 -38 + 18x = -5 Add '38' to each side of the equation. -38 + 38 + 18x = -5 + 38 Combine like terms: -38 + 38 = 0 0 + 18x = -5 + 38 18x = -5 + 38 Combine like terms: -5 + 38 = 33 18x = 33 Divide each side by '18'. x = 1.833333333 Simplifying x = 1.833333333
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