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Simplifying 6(4x + -9) + -6 = 6(x + -3) + 84 Reorder the terms: 6(-9 + 4x) + -6 = 6(x + -3) + 84 (-9 * 6 + 4x * 6) + -6 = 6(x + -3) + 84 (-54 + 24x) + -6 = 6(x + -3) + 84 Reorder the terms: -54 + -6 + 24x = 6(x + -3) + 84 Combine like terms: -54 + -6 = -60 -60 + 24x = 6(x + -3) + 84 Reorder the terms: -60 + 24x = 6(-3 + x) + 84 -60 + 24x = (-3 * 6 + x * 6) + 84 -60 + 24x = (-18 + 6x) + 84 Reorder the terms: -60 + 24x = -18 + 84 + 6x Combine like terms: -18 + 84 = 66 -60 + 24x = 66 + 6x Solving -60 + 24x = 66 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -60 + 24x + -6x = 66 + 6x + -6x Combine like terms: 24x + -6x = 18x -60 + 18x = 66 + 6x + -6x Combine like terms: 6x + -6x = 0 -60 + 18x = 66 + 0 -60 + 18x = 66 Add '60' to each side of the equation. -60 + 60 + 18x = 66 + 60 Combine like terms: -60 + 60 = 0 0 + 18x = 66 + 60 18x = 66 + 60 Combine like terms: 66 + 60 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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