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Simplifying 3(4x + 5) = 8(x + 5) + -18 Reorder the terms: 3(5 + 4x) = 8(x + 5) + -18 (5 * 3 + 4x * 3) = 8(x + 5) + -18 (15 + 12x) = 8(x + 5) + -18 Reorder the terms: 15 + 12x = 8(5 + x) + -18 15 + 12x = (5 * 8 + x * 8) + -18 15 + 12x = (40 + 8x) + -18 Reorder the terms: 15 + 12x = 40 + -18 + 8x Combine like terms: 40 + -18 = 22 15 + 12x = 22 + 8x Solving 15 + 12x = 22 + 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. 15 + 12x + -8x = 22 + 8x + -8x Combine like terms: 12x + -8x = 4x 15 + 4x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 4x = 22 + 0 15 + 4x = 22 Add '-15' to each side of the equation. 15 + -15 + 4x = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 22 + -15 4x = 22 + -15 Combine like terms: 22 + -15 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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