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Simplifying 6(x + -1) = -9(x + 4) + 48 Reorder the terms: 6(-1 + x) = -9(x + 4) + 48 (-1 * 6 + x * 6) = -9(x + 4) + 48 (-6 + 6x) = -9(x + 4) + 48 Reorder the terms: -6 + 6x = -9(4 + x) + 48 -6 + 6x = (4 * -9 + x * -9) + 48 -6 + 6x = (-36 + -9x) + 48 Reorder the terms: -6 + 6x = -36 + 48 + -9x Combine like terms: -36 + 48 = 12 -6 + 6x = 12 + -9x Solving -6 + 6x = 12 + -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. -6 + 6x + 9x = 12 + -9x + 9x Combine like terms: 6x + 9x = 15x -6 + 15x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 -6 + 15x = 12 + 0 -6 + 15x = 12 Add '6' to each side of the equation. -6 + 6 + 15x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 12 + 6 15x = 12 + 6 Combine like terms: 12 + 6 = 18 15x = 18 Divide each side by '15'. x = 1.2 Simplifying x = 1.2
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