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Simplifying 6(3x + -8) + -2 = 6(x + -3) + 40 Reorder the terms: 6(-8 + 3x) + -2 = 6(x + -3) + 40 (-8 * 6 + 3x * 6) + -2 = 6(x + -3) + 40 (-48 + 18x) + -2 = 6(x + -3) + 40 Reorder the terms: -48 + -2 + 18x = 6(x + -3) + 40 Combine like terms: -48 + -2 = -50 -50 + 18x = 6(x + -3) + 40 Reorder the terms: -50 + 18x = 6(-3 + x) + 40 -50 + 18x = (-3 * 6 + x * 6) + 40 -50 + 18x = (-18 + 6x) + 40 Reorder the terms: -50 + 18x = -18 + 40 + 6x Combine like terms: -18 + 40 = 22 -50 + 18x = 22 + 6x Solving -50 + 18x = 22 + 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. -50 + 18x + -6x = 22 + 6x + -6x Combine like terms: 18x + -6x = 12x -50 + 12x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 -50 + 12x = 22 + 0 -50 + 12x = 22 Add '50' to each side of the equation. -50 + 50 + 12x = 22 + 50 Combine like terms: -50 + 50 = 0 0 + 12x = 22 + 50 12x = 22 + 50 Combine like terms: 22 + 50 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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