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Simplifying 7(5x + -9) = 2(6 + -2x) + x Reorder the terms: 7(-9 + 5x) = 2(6 + -2x) + x (-9 * 7 + 5x * 7) = 2(6 + -2x) + x (-63 + 35x) = 2(6 + -2x) + x -63 + 35x = (6 * 2 + -2x * 2) + x -63 + 35x = (12 + -4x) + x Combine like terms: -4x + x = -3x -63 + 35x = 12 + -3x Solving -63 + 35x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -63 + 35x + 3x = 12 + -3x + 3x Combine like terms: 35x + 3x = 38x -63 + 38x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -63 + 38x = 12 + 0 -63 + 38x = 12 Add '63' to each side of the equation. -63 + 63 + 38x = 12 + 63 Combine like terms: -63 + 63 = 0 0 + 38x = 12 + 63 38x = 12 + 63 Combine like terms: 12 + 63 = 75 38x = 75 Divide each side by '38'. x = 1.973684211 Simplifying x = 1.973684211
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