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Simplifying 6(3x + -9) + -5 = 6(x + -2) + 25 Reorder the terms: 6(-9 + 3x) + -5 = 6(x + -2) + 25 (-9 * 6 + 3x * 6) + -5 = 6(x + -2) + 25 (-54 + 18x) + -5 = 6(x + -2) + 25 Reorder the terms: -54 + -5 + 18x = 6(x + -2) + 25 Combine like terms: -54 + -5 = -59 -59 + 18x = 6(x + -2) + 25 Reorder the terms: -59 + 18x = 6(-2 + x) + 25 -59 + 18x = (-2 * 6 + x * 6) + 25 -59 + 18x = (-12 + 6x) + 25 Reorder the terms: -59 + 18x = -12 + 25 + 6x Combine like terms: -12 + 25 = 13 -59 + 18x = 13 + 6x Solving -59 + 18x = 13 + 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. -59 + 18x + -6x = 13 + 6x + -6x Combine like terms: 18x + -6x = 12x -59 + 12x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -59 + 12x = 13 + 0 -59 + 12x = 13 Add '59' to each side of the equation. -59 + 59 + 12x = 13 + 59 Combine like terms: -59 + 59 = 0 0 + 12x = 13 + 59 12x = 13 + 59 Combine like terms: 13 + 59 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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