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Simplifying 5 + -2(x + 8) = 6x + 7 Reorder the terms: 5 + -2(8 + x) = 6x + 7 5 + (8 * -2 + x * -2) = 6x + 7 5 + (-16 + -2x) = 6x + 7 Combine like terms: 5 + -16 = -11 -11 + -2x = 6x + 7 Reorder the terms: -11 + -2x = 7 + 6x Solving -11 + -2x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -11 + -2x + -6x = 7 + 6x + -6x Combine like terms: -2x + -6x = -8x -11 + -8x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + -8x = 7 + 0 -11 + -8x = 7 Add '11' to each side of the equation. -11 + 11 + -8x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -8x = 7 + 11 -8x = 7 + 11 Combine like terms: 7 + 11 = 18 -8x = 18 Divide each side by '-8'. x = -2.25 Simplifying x = -2.25
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