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Simplifying 7 + -2(6x + 8) = -9(x + 6) + 3 Reorder the terms: 7 + -2(8 + 6x) = -9(x + 6) + 3 7 + (8 * -2 + 6x * -2) = -9(x + 6) + 3 7 + (-16 + -12x) = -9(x + 6) + 3 Combine like terms: 7 + -16 = -9 -9 + -12x = -9(x + 6) + 3 Reorder the terms: -9 + -12x = -9(6 + x) + 3 -9 + -12x = (6 * -9 + x * -9) + 3 -9 + -12x = (-54 + -9x) + 3 Reorder the terms: -9 + -12x = -54 + 3 + -9x Combine like terms: -54 + 3 = -51 -9 + -12x = -51 + -9x Solving -9 + -12x = -51 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -9 + -12x + 9x = -51 + -9x + 9x Combine like terms: -12x + 9x = -3x -9 + -3x = -51 + -9x + 9x Combine like terms: -9x + 9x = 0 -9 + -3x = -51 + 0 -9 + -3x = -51 Add '9' to each side of the equation. -9 + 9 + -3x = -51 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -51 + 9 -3x = -51 + 9 Combine like terms: -51 + 9 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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