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Simplifying 7x + -27 = 8 + -1(x + -19) Reorder the terms: -27 + 7x = 8 + -1(x + -19) Reorder the terms: -27 + 7x = 8 + -1(-19 + x) -27 + 7x = 8 + (-19 * -1 + x * -1) -27 + 7x = 8 + (19 + -1x) Combine like terms: 8 + 19 = 27 -27 + 7x = 27 + -1x Solving -27 + 7x = 27 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -27 + 7x + x = 27 + -1x + x Combine like terms: 7x + x = 8x -27 + 8x = 27 + -1x + x Combine like terms: -1x + x = 0 -27 + 8x = 27 + 0 -27 + 8x = 27 Add '27' to each side of the equation. -27 + 27 + 8x = 27 + 27 Combine like terms: -27 + 27 = 0 0 + 8x = 27 + 27 8x = 27 + 27 Combine like terms: 27 + 27 = 54 8x = 54 Divide each side by '8'. x = 6.75 Simplifying x = 6.75
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