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Simplifying 3x + -7(x + -2) = 4(3 + -5x) + -1(24 * 3x) Reorder the terms: 3x + -7(-2 + x) = 4(3 + -5x) + -1(24 * 3x) 3x + (-2 * -7 + x * -7) = 4(3 + -5x) + -1(24 * 3x) 3x + (14 + -7x) = 4(3 + -5x) + -1(24 * 3x) Reorder the terms: 14 + 3x + -7x = 4(3 + -5x) + -1(24 * 3x) Combine like terms: 3x + -7x = -4x 14 + -4x = 4(3 + -5x) + -1(24 * 3x) 14 + -4x = (3 * 4 + -5x * 4) + -1(24 * 3x) 14 + -4x = (12 + -20x) + -1(24 * 3x) Multiply 24 * 3 14 + -4x = 12 + -20x + -1(72x) Remove parenthesis around (72x) 14 + -4x = 12 + -20x + -1 * 72x Multiply -1 * 72 14 + -4x = 12 + -20x + -72x Combine like terms: -20x + -72x = -92x 14 + -4x = 12 + -92x Solving 14 + -4x = 12 + -92x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '92x' to each side of the equation. 14 + -4x + 92x = 12 + -92x + 92x Combine like terms: -4x + 92x = 88x 14 + 88x = 12 + -92x + 92x Combine like terms: -92x + 92x = 0 14 + 88x = 12 + 0 14 + 88x = 12 Add '-14' to each side of the equation. 14 + -14 + 88x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 88x = 12 + -14 88x = 12 + -14 Combine like terms: 12 + -14 = -2 88x = -2 Divide each side by '88'. x = -0.02272727273 Simplifying x = -0.02272727273
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