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Simplifying 13x + -18 = 12 + -1(-4x + 12) Reorder the terms: -18 + 13x = 12 + -1(-4x + 12) Reorder the terms: -18 + 13x = 12 + -1(12 + -4x) -18 + 13x = 12 + (12 * -1 + -4x * -1) -18 + 13x = 12 + (-12 + 4x) Combine like terms: 12 + -12 = 0 -18 + 13x = 0 + 4x -18 + 13x = 4x Solving -18 + 13x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 13x + -4x = 4x + -4x Combine like terms: 13x + -4x = 9x -18 + 9x = 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 9x = 0 Add '18' to each side of the equation. -18 + 18 + 9x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 0 + 18 9x = 0 + 18 Combine like terms: 0 + 18 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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