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Simplifying 13x + -18 = 4(3x + 5) + -2 Reorder the terms: -18 + 13x = 4(3x + 5) + -2 Reorder the terms: -18 + 13x = 4(5 + 3x) + -2 -18 + 13x = (5 * 4 + 3x * 4) + -2 -18 + 13x = (20 + 12x) + -2 Reorder the terms: -18 + 13x = 20 + -2 + 12x Combine like terms: 20 + -2 = 18 -18 + 13x = 18 + 12x Solving -18 + 13x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + 13x + -12x = 18 + 12x + -12x Combine like terms: 13x + -12x = 1x -18 + 1x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + 1x = 18 + 0 -18 + 1x = 18 Add '18' to each side of the equation. -18 + 18 + 1x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 18 + 18 1x = 18 + 18 Combine like terms: 18 + 18 = 36 1x = 36 Divide each side by '1'. x = 36 Simplifying x = 36
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