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Simplifying -2x + 4(5x + -3) = 114 Reorder the terms: -2x + 4(-3 + 5x) = 114 -2x + (-3 * 4 + 5x * 4) = 114 -2x + (-12 + 20x) = 114 Reorder the terms: -12 + -2x + 20x = 114 Combine like terms: -2x + 20x = 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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