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Simplifying 4x + 13 = -2(x + 3) Reorder the terms: 13 + 4x = -2(x + 3) Reorder the terms: 13 + 4x = -2(3 + x) 13 + 4x = (3 * -2 + x * -2) 13 + 4x = (-6 + -2x) Solving 13 + 4x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 13 + 4x + 2x = -6 + -2x + 2x Combine like terms: 4x + 2x = 6x 13 + 6x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 6x = -6 + 0 13 + 6x = -6 Add '-13' to each side of the equation. 13 + -13 + 6x = -6 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = -6 + -13 6x = -6 + -13 Combine like terms: -6 + -13 = -19 6x = -19 Divide each side by '6'. x = -3.166666667 Simplifying x = -3.166666667
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