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Simplifying 6(3x + -7) + -3 = 6(x + -4) + 39 Reorder the terms: 6(-7 + 3x) + -3 = 6(x + -4) + 39 (-7 * 6 + 3x * 6) + -3 = 6(x + -4) + 39 (-42 + 18x) + -3 = 6(x + -4) + 39 Reorder the terms: -42 + -3 + 18x = 6(x + -4) + 39 Combine like terms: -42 + -3 = -45 -45 + 18x = 6(x + -4) + 39 Reorder the terms: -45 + 18x = 6(-4 + x) + 39 -45 + 18x = (-4 * 6 + x * 6) + 39 -45 + 18x = (-24 + 6x) + 39 Reorder the terms: -45 + 18x = -24 + 39 + 6x Combine like terms: -24 + 39 = 15 -45 + 18x = 15 + 6x Solving -45 + 18x = 15 + 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. -45 + 18x + -6x = 15 + 6x + -6x Combine like terms: 18x + -6x = 12x -45 + 12x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 12x = 15 + 0 -45 + 12x = 15 Add '45' to each side of the equation. -45 + 45 + 12x = 15 + 45 Combine like terms: -45 + 45 = 0 0 + 12x = 15 + 45 12x = 15 + 45 Combine like terms: 15 + 45 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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