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Simplifying 5(x + 8) + 3 = -8(x + -5) + -1 Reorder the terms: 5(8 + x) + 3 = -8(x + -5) + -1 (8 * 5 + x * 5) + 3 = -8(x + -5) + -1 (40 + 5x) + 3 = -8(x + -5) + -1 Reorder the terms: 40 + 3 + 5x = -8(x + -5) + -1 Combine like terms: 40 + 3 = 43 43 + 5x = -8(x + -5) + -1 Reorder the terms: 43 + 5x = -8(-5 + x) + -1 43 + 5x = (-5 * -8 + x * -8) + -1 43 + 5x = (40 + -8x) + -1 Reorder the terms: 43 + 5x = 40 + -1 + -8x Combine like terms: 40 + -1 = 39 43 + 5x = 39 + -8x Solving 43 + 5x = 39 + -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. 43 + 5x + 8x = 39 + -8x + 8x Combine like terms: 5x + 8x = 13x 43 + 13x = 39 + -8x + 8x Combine like terms: -8x + 8x = 0 43 + 13x = 39 + 0 43 + 13x = 39 Add '-43' to each side of the equation. 43 + -43 + 13x = 39 + -43 Combine like terms: 43 + -43 = 0 0 + 13x = 39 + -43 13x = 39 + -43 Combine like terms: 39 + -43 = -4 13x = -4 Divide each side by '13'. x = -0.3076923077 Simplifying x = -0.3076923077
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