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Simplifying 8(x + 5) = 14 + -2(x + 3) Reorder the terms: 8(5 + x) = 14 + -2(x + 3) (5 * 8 + x * 8) = 14 + -2(x + 3) (40 + 8x) = 14 + -2(x + 3) Reorder the terms: 40 + 8x = 14 + -2(3 + x) 40 + 8x = 14 + (3 * -2 + x * -2) 40 + 8x = 14 + (-6 + -2x) Combine like terms: 14 + -6 = 8 40 + 8x = 8 + -2x Solving 40 + 8x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 40 + 8x + 2x = 8 + -2x + 2x Combine like terms: 8x + 2x = 10x 40 + 10x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 40 + 10x = 8 + 0 40 + 10x = 8 Add '-40' to each side of the equation. 40 + -40 + 10x = 8 + -40 Combine like terms: 40 + -40 = 0 0 + 10x = 8 + -40 10x = 8 + -40 Combine like terms: 8 + -40 = -32 10x = -32 Divide each side by '10'. x = -3.2 Simplifying x = -3.2
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