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Simplifying 6.1 + -1.1(x + 7.9) = 13 + -8(x + 1) Reorder the terms: 6.1 + -1.1(7.9 + x) = 13 + -8(x + 1) 6.1 + (7.9 * -1.1 + x * -1.1) = 13 + -8(x + 1) 6.1 + (-8.69 + -1.1x) = 13 + -8(x + 1) Combine like terms: 6.1 + -8.69 = -2.59 -2.59 + -1.1x = 13 + -8(x + 1) Reorder the terms: -2.59 + -1.1x = 13 + -8(1 + x) -2.59 + -1.1x = 13 + (1 * -8 + x * -8) -2.59 + -1.1x = 13 + (-8 + -8x) Combine like terms: 13 + -8 = 5 -2.59 + -1.1x = 5 + -8x Solving -2.59 + -1.1x = 5 + -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. -2.59 + -1.1x + 8x = 5 + -8x + 8x Combine like terms: -1.1x + 8x = 6.9x -2.59 + 6.9x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -2.59 + 6.9x = 5 + 0 -2.59 + 6.9x = 5 Add '2.59' to each side of the equation. -2.59 + 2.59 + 6.9x = 5 + 2.59 Combine like terms: -2.59 + 2.59 = 0.00 0.00 + 6.9x = 5 + 2.59 6.9x = 5 + 2.59 Combine like terms: 5 + 2.59 = 7.59 6.9x = 7.59 Divide each side by '6.9'. x = 1.1 Simplifying x = 1.1
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