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Simplifying 5x + 2(x + 4) + 5 = -2(3x + 13) Reorder the terms: 5x + 2(4 + x) + 5 = -2(3x + 13) 5x + (4 * 2 + x * 2) + 5 = -2(3x + 13) 5x + (8 + 2x) + 5 = -2(3x + 13) Reorder the terms: 8 + 5 + 5x + 2x = -2(3x + 13) Combine like terms: 8 + 5 = 13 13 + 5x + 2x = -2(3x + 13) Combine like terms: 5x + 2x = 7x 13 + 7x = -2(3x + 13) Reorder the terms: 13 + 7x = -2(13 + 3x) 13 + 7x = (13 * -2 + 3x * -2) 13 + 7x = (-26 + -6x) Solving 13 + 7x = -26 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 13 + 7x + 6x = -26 + -6x + 6x Combine like terms: 7x + 6x = 13x 13 + 13x = -26 + -6x + 6x Combine like terms: -6x + 6x = 0 13 + 13x = -26 + 0 13 + 13x = -26 Add '-13' to each side of the equation. 13 + -13 + 13x = -26 + -13 Combine like terms: 13 + -13 = 0 0 + 13x = -26 + -13 13x = -26 + -13 Combine like terms: -26 + -13 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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