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Simplifying 8(x + 4) + 15 = 6(x + 4) + 13 Reorder the terms: 8(4 + x) + 15 = 6(x + 4) + 13 (4 * 8 + x * 8) + 15 = 6(x + 4) + 13 (32 + 8x) + 15 = 6(x + 4) + 13 Reorder the terms: 32 + 15 + 8x = 6(x + 4) + 13 Combine like terms: 32 + 15 = 47 47 + 8x = 6(x + 4) + 13 Reorder the terms: 47 + 8x = 6(4 + x) + 13 47 + 8x = (4 * 6 + x * 6) + 13 47 + 8x = (24 + 6x) + 13 Reorder the terms: 47 + 8x = 24 + 13 + 6x Combine like terms: 24 + 13 = 37 47 + 8x = 37 + 6x Solving 47 + 8x = 37 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 47 + 8x + -6x = 37 + 6x + -6x Combine like terms: 8x + -6x = 2x 47 + 2x = 37 + 6x + -6x Combine like terms: 6x + -6x = 0 47 + 2x = 37 + 0 47 + 2x = 37 Add '-47' to each side of the equation. 47 + -47 + 2x = 37 + -47 Combine like terms: 47 + -47 = 0 0 + 2x = 37 + -47 2x = 37 + -47 Combine like terms: 37 + -47 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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