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Simplifying 8 + -6(2x + 2) = 9(3x + 4) + 7 Reorder the terms: 8 + -6(2 + 2x) = 9(3x + 4) + 7 8 + (2 * -6 + 2x * -6) = 9(3x + 4) + 7 8 + (-12 + -12x) = 9(3x + 4) + 7 Combine like terms: 8 + -12 = -4 -4 + -12x = 9(3x + 4) + 7 Reorder the terms: -4 + -12x = 9(4 + 3x) + 7 -4 + -12x = (4 * 9 + 3x * 9) + 7 -4 + -12x = (36 + 27x) + 7 Reorder the terms: -4 + -12x = 36 + 7 + 27x Combine like terms: 36 + 7 = 43 -4 + -12x = 43 + 27x Solving -4 + -12x = 43 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -4 + -12x + -27x = 43 + 27x + -27x Combine like terms: -12x + -27x = -39x -4 + -39x = 43 + 27x + -27x Combine like terms: 27x + -27x = 0 -4 + -39x = 43 + 0 -4 + -39x = 43 Add '4' to each side of the equation. -4 + 4 + -39x = 43 + 4 Combine like terms: -4 + 4 = 0 0 + -39x = 43 + 4 -39x = 43 + 4 Combine like terms: 43 + 4 = 47 -39x = 47 Divide each side by '-39'. x = -1.205128205 Simplifying x = -1.205128205
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