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Simplifying 5x + 13 = -5(2 + 2x) + -8x Reorder the terms: 13 + 5x = -5(2 + 2x) + -8x 13 + 5x = (2 * -5 + 2x * -5) + -8x 13 + 5x = (-10 + -10x) + -8x Combine like terms: -10x + -8x = -18x 13 + 5x = -10 + -18x Solving 13 + 5x = -10 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 13 + 5x + 18x = -10 + -18x + 18x Combine like terms: 5x + 18x = 23x 13 + 23x = -10 + -18x + 18x Combine like terms: -18x + 18x = 0 13 + 23x = -10 + 0 13 + 23x = -10 Add '-13' to each side of the equation. 13 + -13 + 23x = -10 + -13 Combine like terms: 13 + -13 = 0 0 + 23x = -10 + -13 23x = -10 + -13 Combine like terms: -10 + -13 = -23 23x = -23 Divide each side by '23'. x = -1 Simplifying x = -1
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