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Simplifying 6(3x + -7) + -2 = 6(x + -3) + 58 Reorder the terms: 6(-7 + 3x) + -2 = 6(x + -3) + 58 (-7 * 6 + 3x * 6) + -2 = 6(x + -3) + 58 (-42 + 18x) + -2 = 6(x + -3) + 58 Reorder the terms: -42 + -2 + 18x = 6(x + -3) + 58 Combine like terms: -42 + -2 = -44 -44 + 18x = 6(x + -3) + 58 Reorder the terms: -44 + 18x = 6(-3 + x) + 58 -44 + 18x = (-3 * 6 + x * 6) + 58 -44 + 18x = (-18 + 6x) + 58 Reorder the terms: -44 + 18x = -18 + 58 + 6x Combine like terms: -18 + 58 = 40 -44 + 18x = 40 + 6x Solving -44 + 18x = 40 + 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. -44 + 18x + -6x = 40 + 6x + -6x Combine like terms: 18x + -6x = 12x -44 + 12x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 -44 + 12x = 40 + 0 -44 + 12x = 40 Add '44' to each side of the equation. -44 + 44 + 12x = 40 + 44 Combine like terms: -44 + 44 = 0 0 + 12x = 40 + 44 12x = 40 + 44 Combine like terms: 40 + 44 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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