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Simplifying 8(x + 3) + 5 = -11x + -3(x + -4) Reorder the terms: 8(3 + x) + 5 = -11x + -3(x + -4) (3 * 8 + x * 8) + 5 = -11x + -3(x + -4) (24 + 8x) + 5 = -11x + -3(x + -4) Reorder the terms: 24 + 5 + 8x = -11x + -3(x + -4) Combine like terms: 24 + 5 = 29 29 + 8x = -11x + -3(x + -4) Reorder the terms: 29 + 8x = -11x + -3(-4 + x) 29 + 8x = -11x + (-4 * -3 + x * -3) 29 + 8x = -11x + (12 + -3x) Reorder the terms: 29 + 8x = 12 + -11x + -3x Combine like terms: -11x + -3x = -14x 29 + 8x = 12 + -14x Solving 29 + 8x = 12 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 29 + 8x + 14x = 12 + -14x + 14x Combine like terms: 8x + 14x = 22x 29 + 22x = 12 + -14x + 14x Combine like terms: -14x + 14x = 0 29 + 22x = 12 + 0 29 + 22x = 12 Add '-29' to each side of the equation. 29 + -29 + 22x = 12 + -29 Combine like terms: 29 + -29 = 0 0 + 22x = 12 + -29 22x = 12 + -29 Combine like terms: 12 + -29 = -17 22x = -17 Divide each side by '22'. x = -0.7727272727 Simplifying x = -0.7727272727
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