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Simplifying 5x + 3 = 5 + -2(4x + 13) Reorder the terms: 3 + 5x = 5 + -2(4x + 13) Reorder the terms: 3 + 5x = 5 + -2(13 + 4x) 3 + 5x = 5 + (13 * -2 + 4x * -2) 3 + 5x = 5 + (-26 + -8x) Combine like terms: 5 + -26 = -21 3 + 5x = -21 + -8x Solving 3 + 5x = -21 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 3 + 5x + 8x = -21 + -8x + 8x Combine like terms: 5x + 8x = 13x 3 + 13x = -21 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 13x = -21 + 0 3 + 13x = -21 Add '-3' to each side of the equation. 3 + -3 + 13x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = -21 + -3 13x = -21 + -3 Combine like terms: -21 + -3 = -24 13x = -24 Divide each side by '13'. x = -1.846153846 Simplifying x = -1.846153846
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