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Simplifying 9(x + -4) = -6(x + 2) + 45 Reorder the terms: 9(-4 + x) = -6(x + 2) + 45 (-4 * 9 + x * 9) = -6(x + 2) + 45 (-36 + 9x) = -6(x + 2) + 45 Reorder the terms: -36 + 9x = -6(2 + x) + 45 -36 + 9x = (2 * -6 + x * -6) + 45 -36 + 9x = (-12 + -6x) + 45 Reorder the terms: -36 + 9x = -12 + 45 + -6x Combine like terms: -12 + 45 = 33 -36 + 9x = 33 + -6x Solving -36 + 9x = 33 + -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. -36 + 9x + 6x = 33 + -6x + 6x Combine like terms: 9x + 6x = 15x -36 + 15x = 33 + -6x + 6x Combine like terms: -6x + 6x = 0 -36 + 15x = 33 + 0 -36 + 15x = 33 Add '36' to each side of the equation. -36 + 36 + 15x = 33 + 36 Combine like terms: -36 + 36 = 0 0 + 15x = 33 + 36 15x = 33 + 36 Combine like terms: 33 + 36 = 69 15x = 69 Divide each side by '15'. x = 4.6 Simplifying x = 4.6
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