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Simplifying 13x + -1(4x + 6) + 18 = 5x Reorder the terms: 13x + -1(6 + 4x) + 18 = 5x 13x + (6 * -1 + 4x * -1) + 18 = 5x 13x + (-6 + -4x) + 18 = 5x Reorder the terms: -6 + 18 + 13x + -4x = 5x Combine like terms: -6 + 18 = 12 12 + 13x + -4x = 5x Combine like terms: 13x + -4x = 9x 12 + 9x = 5x Solving 12 + 9x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 9x + -5x = 5x + -5x Combine like terms: 9x + -5x = 4x 12 + 4x = 5x + -5x Combine like terms: 5x + -5x = 0 12 + 4x = 0 Add '-12' to each side of the equation. 12 + -12 + 4x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 0 + -12 4x = 0 + -12 Combine like terms: 0 + -12 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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