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Simplifying -8(x + 3) + -4 = 5(x + 4) Reorder the terms: -8(3 + x) + -4 = 5(x + 4) (3 * -8 + x * -8) + -4 = 5(x + 4) (-24 + -8x) + -4 = 5(x + 4) Reorder the terms: -24 + -4 + -8x = 5(x + 4) Combine like terms: -24 + -4 = -28 -28 + -8x = 5(x + 4) Reorder the terms: -28 + -8x = 5(4 + x) -28 + -8x = (4 * 5 + x * 5) -28 + -8x = (20 + 5x) Solving -28 + -8x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -28 + -8x + -5x = 20 + 5x + -5x Combine like terms: -8x + -5x = -13x -28 + -13x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + -13x = 20 + 0 -28 + -13x = 20 Add '28' to each side of the equation. -28 + 28 + -13x = 20 + 28 Combine like terms: -28 + 28 = 0 0 + -13x = 20 + 28 -13x = 20 + 28 Combine like terms: 20 + 28 = 48 -13x = 48 Divide each side by '-13'. x = -3.692307692 Simplifying x = -3.692307692
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