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Simplifying 9(x + -3) = -6(x + 1) + 21 Reorder the terms: 9(-3 + x) = -6(x + 1) + 21 (-3 * 9 + x * 9) = -6(x + 1) + 21 (-27 + 9x) = -6(x + 1) + 21 Reorder the terms: -27 + 9x = -6(1 + x) + 21 -27 + 9x = (1 * -6 + x * -6) + 21 -27 + 9x = (-6 + -6x) + 21 Reorder the terms: -27 + 9x = -6 + 21 + -6x Combine like terms: -6 + 21 = 15 -27 + 9x = 15 + -6x Solving -27 + 9x = 15 + -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. -27 + 9x + 6x = 15 + -6x + 6x Combine like terms: 9x + 6x = 15x -27 + 15x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 -27 + 15x = 15 + 0 -27 + 15x = 15 Add '27' to each side of the equation. -27 + 27 + 15x = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 15x = 15 + 27 15x = 15 + 27 Combine like terms: 15 + 27 = 42 15x = 42 Divide each side by '15'. x = 2.8 Simplifying x = 2.8
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