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Simplifying 4x + 2 = -9(x + -6) Reorder the terms: 2 + 4x = -9(x + -6) Reorder the terms: 2 + 4x = -9(-6 + x) 2 + 4x = (-6 * -9 + x * -9) 2 + 4x = (54 + -9x) Solving 2 + 4x = 54 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 2 + 4x + 9x = 54 + -9x + 9x Combine like terms: 4x + 9x = 13x 2 + 13x = 54 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 13x = 54 + 0 2 + 13x = 54 Add '-2' to each side of the equation. 2 + -2 + 13x = 54 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 54 + -2 13x = 54 + -2 Combine like terms: 54 + -2 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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