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Simplifying 5x + 8(x + 5) = 6 + -3x Reorder the terms: 5x + 8(5 + x) = 6 + -3x 5x + (5 * 8 + x * 8) = 6 + -3x 5x + (40 + 8x) = 6 + -3x Reorder the terms: 40 + 5x + 8x = 6 + -3x Combine like terms: 5x + 8x = 13x 40 + 13x = 6 + -3x Solving 40 + 13x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 40 + 13x + 3x = 6 + -3x + 3x Combine like terms: 13x + 3x = 16x 40 + 16x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 40 + 16x = 6 + 0 40 + 16x = 6 Add '-40' to each side of the equation. 40 + -40 + 16x = 6 + -40 Combine like terms: 40 + -40 = 0 0 + 16x = 6 + -40 16x = 6 + -40 Combine like terms: 6 + -40 = -34 16x = -34 Divide each side by '16'. x = -2.125 Simplifying x = -2.125
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