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Simplifying 4(x + -2) + -1(7x + -9) + 6 = 2 Reorder the terms: 4(-2 + x) + -1(7x + -9) + 6 = 2 (-2 * 4 + x * 4) + -1(7x + -9) + 6 = 2 (-8 + 4x) + -1(7x + -9) + 6 = 2 Reorder the terms: -8 + 4x + -1(-9 + 7x) + 6 = 2 -8 + 4x + (-9 * -1 + 7x * -1) + 6 = 2 -8 + 4x + (9 + -7x) + 6 = 2 Reorder the terms: -8 + 9 + 6 + 4x + -7x = 2 Combine like terms: -8 + 9 = 1 1 + 6 + 4x + -7x = 2 Combine like terms: 1 + 6 = 7 7 + 4x + -7x = 2 Combine like terms: 4x + -7x = -3x 7 + -3x = 2 Solving 7 + -3x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 2 + -7 -3x = 2 + -7 Combine like terms: 2 + -7 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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