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Simplifying 3 + -5(x + 7) = 8(x + 8) Reorder the terms: 3 + -5(7 + x) = 8(x + 8) 3 + (7 * -5 + x * -5) = 8(x + 8) 3 + (-35 + -5x) = 8(x + 8) Combine like terms: 3 + -35 = -32 -32 + -5x = 8(x + 8) Reorder the terms: -32 + -5x = 8(8 + x) -32 + -5x = (8 * 8 + x * 8) -32 + -5x = (64 + 8x) Solving -32 + -5x = 64 + 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. -32 + -5x + -8x = 64 + 8x + -8x Combine like terms: -5x + -8x = -13x -32 + -13x = 64 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -13x = 64 + 0 -32 + -13x = 64 Add '32' to each side of the equation. -32 + 32 + -13x = 64 + 32 Combine like terms: -32 + 32 = 0 0 + -13x = 64 + 32 -13x = 64 + 32 Combine like terms: 64 + 32 = 96 -13x = 96 Divide each side by '-13'. x = -7.384615385 Simplifying x = -7.384615385
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