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Simplifying 18x + -6(3x + 1) = 8x + -5(x + -3) Reorder the terms: 18x + -6(1 + 3x) = 8x + -5(x + -3) 18x + (1 * -6 + 3x * -6) = 8x + -5(x + -3) 18x + (-6 + -18x) = 8x + -5(x + -3) Reorder the terms: -6 + 18x + -18x = 8x + -5(x + -3) Combine like terms: 18x + -18x = 0 -6 + 0 = 8x + -5(x + -3) -6 = 8x + -5(x + -3) Reorder the terms: -6 = 8x + -5(-3 + x) -6 = 8x + (-3 * -5 + x * -5) -6 = 8x + (15 + -5x) Reorder the terms: -6 = 15 + 8x + -5x Combine like terms: 8x + -5x = 3x -6 = 15 + 3x Solving -6 = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -3x = 15 + 0 -6 + -3x = 15 Add '6' to each side of the equation. -6 + 6 + -3x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 15 + 6 -3x = 15 + 6 Combine like terms: 15 + 6 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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