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Simplifying 12x + -7 = 11(x + 8) + 5 Reorder the terms: -7 + 12x = 11(x + 8) + 5 Reorder the terms: -7 + 12x = 11(8 + x) + 5 -7 + 12x = (8 * 11 + x * 11) + 5 -7 + 12x = (88 + 11x) + 5 Reorder the terms: -7 + 12x = 88 + 5 + 11x Combine like terms: 88 + 5 = 93 -7 + 12x = 93 + 11x Solving -7 + 12x = 93 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -7 + 12x + -11x = 93 + 11x + -11x Combine like terms: 12x + -11x = 1x -7 + 1x = 93 + 11x + -11x Combine like terms: 11x + -11x = 0 -7 + 1x = 93 + 0 -7 + 1x = 93 Add '7' to each side of the equation. -7 + 7 + 1x = 93 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 93 + 7 1x = 93 + 7 Combine like terms: 93 + 7 = 100 1x = 100 Divide each side by '1'. x = 100 Simplifying x = 100
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