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Simplifying 15(x + 13) = -8(x + -10) Reorder the terms: 15(13 + x) = -8(x + -10) (13 * 15 + x * 15) = -8(x + -10) (195 + 15x) = -8(x + -10) Reorder the terms: 195 + 15x = -8(-10 + x) 195 + 15x = (-10 * -8 + x * -8) 195 + 15x = (80 + -8x) Solving 195 + 15x = 80 + -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. 195 + 15x + 8x = 80 + -8x + 8x Combine like terms: 15x + 8x = 23x 195 + 23x = 80 + -8x + 8x Combine like terms: -8x + 8x = 0 195 + 23x = 80 + 0 195 + 23x = 80 Add '-195' to each side of the equation. 195 + -195 + 23x = 80 + -195 Combine like terms: 195 + -195 = 0 0 + 23x = 80 + -195 23x = 80 + -195 Combine like terms: 80 + -195 = -115 23x = -115 Divide each side by '23'. x = -5 Simplifying x = -5
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