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Simplifying 9(x + -3) = -6(x + 4) + 48 Reorder the terms: 9(-3 + x) = -6(x + 4) + 48 (-3 * 9 + x * 9) = -6(x + 4) + 48 (-27 + 9x) = -6(x + 4) + 48 Reorder the terms: -27 + 9x = -6(4 + x) + 48 -27 + 9x = (4 * -6 + x * -6) + 48 -27 + 9x = (-24 + -6x) + 48 Reorder the terms: -27 + 9x = -24 + 48 + -6x Combine like terms: -24 + 48 = 24 -27 + 9x = 24 + -6x Solving -27 + 9x = 24 + -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 = 24 + -6x + 6x Combine like terms: 9x + 6x = 15x -27 + 15x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -27 + 15x = 24 + 0 -27 + 15x = 24 Add '27' to each side of the equation. -27 + 27 + 15x = 24 + 27 Combine like terms: -27 + 27 = 0 0 + 15x = 24 + 27 15x = 24 + 27 Combine like terms: 24 + 27 = 51 15x = 51 Divide each side by '15'. x = 3.4 Simplifying x = 3.4
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