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Simplifying 7(2x + 1) = -8(x + 11) Reorder the terms: 7(1 + 2x) = -8(x + 11) (1 * 7 + 2x * 7) = -8(x + 11) (7 + 14x) = -8(x + 11) Reorder the terms: 7 + 14x = -8(11 + x) 7 + 14x = (11 * -8 + x * -8) 7 + 14x = (-88 + -8x) Solving 7 + 14x = -88 + -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. 7 + 14x + 8x = -88 + -8x + 8x Combine like terms: 14x + 8x = 22x 7 + 22x = -88 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 22x = -88 + 0 7 + 22x = -88 Add '-7' to each side of the equation. 7 + -7 + 22x = -88 + -7 Combine like terms: 7 + -7 = 0 0 + 22x = -88 + -7 22x = -88 + -7 Combine like terms: -88 + -7 = -95 22x = -95 Divide each side by '22'. x = -4.318181818 Simplifying x = -4.318181818
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