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Simplifying 13x + -18 = 4(3x + -1) + 5 Reorder the terms: -18 + 13x = 4(3x + -1) + 5 Reorder the terms: -18 + 13x = 4(-1 + 3x) + 5 -18 + 13x = (-1 * 4 + 3x * 4) + 5 -18 + 13x = (-4 + 12x) + 5 Reorder the terms: -18 + 13x = -4 + 5 + 12x Combine like terms: -4 + 5 = 1 -18 + 13x = 1 + 12x Solving -18 + 13x = 1 + 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 = 1 + 12x + -12x Combine like terms: 13x + -12x = 1x -18 + 1x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + 1x = 1 + 0 -18 + 1x = 1 Add '18' to each side of the equation. -18 + 18 + 1x = 1 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 1 + 18 1x = 1 + 18 Combine like terms: 1 + 18 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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