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Simplifying 4 + 9(x + -7) = 6 + -3(x + -2) Reorder the terms: 4 + 9(-7 + x) = 6 + -3(x + -2) 4 + (-7 * 9 + x * 9) = 6 + -3(x + -2) 4 + (-63 + 9x) = 6 + -3(x + -2) Combine like terms: 4 + -63 = -59 -59 + 9x = 6 + -3(x + -2) Reorder the terms: -59 + 9x = 6 + -3(-2 + x) -59 + 9x = 6 + (-2 * -3 + x * -3) -59 + 9x = 6 + (6 + -3x) Combine like terms: 6 + 6 = 12 -59 + 9x = 12 + -3x Solving -59 + 9x = 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. -59 + 9x + 3x = 12 + -3x + 3x Combine like terms: 9x + 3x = 12x -59 + 12x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -59 + 12x = 12 + 0 -59 + 12x = 12 Add '59' to each side of the equation. -59 + 59 + 12x = 12 + 59 Combine like terms: -59 + 59 = 0 0 + 12x = 12 + 59 12x = 12 + 59 Combine like terms: 12 + 59 = 71 12x = 71 Divide each side by '12'. x = 5.916666667 Simplifying x = 5.916666667
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