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Simplifying 5(x + 8) + -4 = 8(x + 5) + -19 Reorder the terms: 5(8 + x) + -4 = 8(x + 5) + -19 (8 * 5 + x * 5) + -4 = 8(x + 5) + -19 (40 + 5x) + -4 = 8(x + 5) + -19 Reorder the terms: 40 + -4 + 5x = 8(x + 5) + -19 Combine like terms: 40 + -4 = 36 36 + 5x = 8(x + 5) + -19 Reorder the terms: 36 + 5x = 8(5 + x) + -19 36 + 5x = (5 * 8 + x * 8) + -19 36 + 5x = (40 + 8x) + -19 Reorder the terms: 36 + 5x = 40 + -19 + 8x Combine like terms: 40 + -19 = 21 36 + 5x = 21 + 8x Solving 36 + 5x = 21 + 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. 36 + 5x + -8x = 21 + 8x + -8x Combine like terms: 5x + -8x = -3x 36 + -3x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + -3x = 21 + 0 36 + -3x = 21 Add '-36' to each side of the equation. 36 + -36 + -3x = 21 + -36 Combine like terms: 36 + -36 = 0 0 + -3x = 21 + -36 -3x = 21 + -36 Combine like terms: 21 + -36 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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