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Simplifying 3 + 6(3x + -4) = 8 + -7(9x + -3) Reorder the terms: 3 + 6(-4 + 3x) = 8 + -7(9x + -3) 3 + (-4 * 6 + 3x * 6) = 8 + -7(9x + -3) 3 + (-24 + 18x) = 8 + -7(9x + -3) Combine like terms: 3 + -24 = -21 -21 + 18x = 8 + -7(9x + -3) Reorder the terms: -21 + 18x = 8 + -7(-3 + 9x) -21 + 18x = 8 + (-3 * -7 + 9x * -7) -21 + 18x = 8 + (21 + -63x) Combine like terms: 8 + 21 = 29 -21 + 18x = 29 + -63x Solving -21 + 18x = 29 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. -21 + 18x + 63x = 29 + -63x + 63x Combine like terms: 18x + 63x = 81x -21 + 81x = 29 + -63x + 63x Combine like terms: -63x + 63x = 0 -21 + 81x = 29 + 0 -21 + 81x = 29 Add '21' to each side of the equation. -21 + 21 + 81x = 29 + 21 Combine like terms: -21 + 21 = 0 0 + 81x = 29 + 21 81x = 29 + 21 Combine like terms: 29 + 21 = 50 81x = 50 Divide each side by '81'. x = 0.6172839506 Simplifying x = 0.6172839506
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