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Simplifying 2x + 3 * 2x + -1 + -7 * 2x + -2 = 24 Multiply 3 * 2 2x + 6x + -1 + -7 * 2x + -2 = 24 Multiply -7 * 2 2x + 6x + -1 + -14x + -2 = 24 Reorder the terms: -1 + -2 + 2x + 6x + -14x = 24 Combine like terms: -1 + -2 = -3 -3 + 2x + 6x + -14x = 24 Combine like terms: 2x + 6x = 8x -3 + 8x + -14x = 24 Combine like terms: 8x + -14x = -6x -3 + -6x = 24 Solving -3 + -6x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -6x = 24 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 24 + 3 -6x = 24 + 3 Combine like terms: 24 + 3 = 27 -6x = 27 Divide each side by '-6'. x = -4.5 Simplifying x = -4.5
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