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Simplifying 6(3x + -8) + -3 = 6(x + -3) + 51 Reorder the terms: 6(-8 + 3x) + -3 = 6(x + -3) + 51 (-8 * 6 + 3x * 6) + -3 = 6(x + -3) + 51 (-48 + 18x) + -3 = 6(x + -3) + 51 Reorder the terms: -48 + -3 + 18x = 6(x + -3) + 51 Combine like terms: -48 + -3 = -51 -51 + 18x = 6(x + -3) + 51 Reorder the terms: -51 + 18x = 6(-3 + x) + 51 -51 + 18x = (-3 * 6 + x * 6) + 51 -51 + 18x = (-18 + 6x) + 51 Reorder the terms: -51 + 18x = -18 + 51 + 6x Combine like terms: -18 + 51 = 33 -51 + 18x = 33 + 6x Solving -51 + 18x = 33 + 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. -51 + 18x + -6x = 33 + 6x + -6x Combine like terms: 18x + -6x = 12x -51 + 12x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 -51 + 12x = 33 + 0 -51 + 12x = 33 Add '51' to each side of the equation. -51 + 51 + 12x = 33 + 51 Combine like terms: -51 + 51 = 0 0 + 12x = 33 + 51 12x = 33 + 51 Combine like terms: 33 + 51 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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