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Simplifying (10)(x + 16) = 2.6(x + 5) Reorder the terms: 10(16 + x) = 2.6(x + 5) (16 * 10 + x * 10) = 2.6(x + 5) (160 + 10x) = 2.6(x + 5) Reorder the terms: 160 + 10x = 2.6(5 + x) 160 + 10x = (5 * 2.6 + x * 2.6) 160 + 10x = (13 + 2.6x) Solving 160 + 10x = 13 + 2.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6x' to each side of the equation. 160 + 10x + -2.6x = 13 + 2.6x + -2.6x Combine like terms: 10x + -2.6x = 7.4x 160 + 7.4x = 13 + 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 160 + 7.4x = 13 + 0.0 160 + 7.4x = 13 Add '-160' to each side of the equation. 160 + -160 + 7.4x = 13 + -160 Combine like terms: 160 + -160 = 0 0 + 7.4x = 13 + -160 7.4x = 13 + -160 Combine like terms: 13 + -160 = -147 7.4x = -147 Divide each side by '7.4'. x = -19.86486486 Simplifying x = -19.86486486
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