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Simplifying 18 + -2(x + 3) = 13(x + 3) + -1 Reorder the terms: 18 + -2(3 + x) = 13(x + 3) + -1 18 + (3 * -2 + x * -2) = 13(x + 3) + -1 18 + (-6 + -2x) = 13(x + 3) + -1 Combine like terms: 18 + -6 = 12 12 + -2x = 13(x + 3) + -1 Reorder the terms: 12 + -2x = 13(3 + x) + -1 12 + -2x = (3 * 13 + x * 13) + -1 12 + -2x = (39 + 13x) + -1 Reorder the terms: 12 + -2x = 39 + -1 + 13x Combine like terms: 39 + -1 = 38 12 + -2x = 38 + 13x Solving 12 + -2x = 38 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12 + -2x + -13x = 38 + 13x + -13x Combine like terms: -2x + -13x = -15x 12 + -15x = 38 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + -15x = 38 + 0 12 + -15x = 38 Add '-12' to each side of the equation. 12 + -12 + -15x = 38 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = 38 + -12 -15x = 38 + -12 Combine like terms: 38 + -12 = 26 -15x = 26 Divide each side by '-15'. x = -1.733333333 Simplifying x = -1.733333333
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