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Simplifying 4x + -2(-7x + 6) = 114 Reorder the terms: 4x + -2(6 + -7x) = 114 4x + (6 * -2 + -7x * -2) = 114 4x + (-12 + 14x) = 114 Reorder the terms: -12 + 4x + 14x = 114 Combine like terms: 4x + 14x = 18x -12 + 18x = 114 Solving -12 + 18x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 18x = 114 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = 114 + 12 18x = 114 + 12 Combine like terms: 114 + 12 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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