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Simplifying [x + 6] + -1[2x + 7] + -3y = -9 Reorder the terms: [6 + x] + -1[2x + 7] + -3y = -9 Remove brackets around [6 + x] 6 + x + -1[2x + 7] + -3y = -9 Reorder the terms: 6 + x + -1[7 + 2x] + -3y = -9 6 + x + [7 * -1 + 2x * -1] + -3y = -9 6 + x + [-7 + -2x] + -3y = -9 Reorder the terms: 6 + -7 + x + -2x + -3y = -9 Combine like terms: 6 + -7 = -1 -1 + x + -2x + -3y = -9 Combine like terms: x + -2x = -1x -1 + -1x + -3y = -9 Solving -1 + -1x + -3y = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1x + 1 + -3y = -9 + 1 Reorder the terms: -1 + 1 + -1x + -3y = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -1x + -3y = -9 + 1 -1x + -3y = -9 + 1 Combine like terms: -9 + 1 = -8 -1x + -3y = -8 Add '3y' to each side of the equation. -1x + -3y + 3y = -8 + 3y Combine like terms: -3y + 3y = 0 -1x + 0 = -8 + 3y -1x = -8 + 3y Divide each side by '-1'. x = 8 + -3y Simplifying x = 8 + -3y
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