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Simplifying 6(3x + -8) + -3 = 6(x + -2) + 21 Reorder the terms: 6(-8 + 3x) + -3 = 6(x + -2) + 21 (-8 * 6 + 3x * 6) + -3 = 6(x + -2) + 21 (-48 + 18x) + -3 = 6(x + -2) + 21 Reorder the terms: -48 + -3 + 18x = 6(x + -2) + 21 Combine like terms: -48 + -3 = -51 -51 + 18x = 6(x + -2) + 21 Reorder the terms: -51 + 18x = 6(-2 + x) + 21 -51 + 18x = (-2 * 6 + x * 6) + 21 -51 + 18x = (-12 + 6x) + 21 Reorder the terms: -51 + 18x = -12 + 21 + 6x Combine like terms: -12 + 21 = 9 -51 + 18x = 9 + 6x Solving -51 + 18x = 9 + 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 = 9 + 6x + -6x Combine like terms: 18x + -6x = 12x -51 + 12x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -51 + 12x = 9 + 0 -51 + 12x = 9 Add '51' to each side of the equation. -51 + 51 + 12x = 9 + 51 Combine like terms: -51 + 51 = 0 0 + 12x = 9 + 51 12x = 9 + 51 Combine like terms: 9 + 51 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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