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Simplifying 6(x + -4) + -3 = -6(-5x + 4) + -9x Reorder the terms: 6(-4 + x) + -3 = -6(-5x + 4) + -9x (-4 * 6 + x * 6) + -3 = -6(-5x + 4) + -9x (-24 + 6x) + -3 = -6(-5x + 4) + -9x Reorder the terms: -24 + -3 + 6x = -6(-5x + 4) + -9x Combine like terms: -24 + -3 = -27 -27 + 6x = -6(-5x + 4) + -9x Reorder the terms: -27 + 6x = -6(4 + -5x) + -9x -27 + 6x = (4 * -6 + -5x * -6) + -9x -27 + 6x = (-24 + 30x) + -9x Combine like terms: 30x + -9x = 21x -27 + 6x = -24 + 21x Solving -27 + 6x = -24 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -27 + 6x + -21x = -24 + 21x + -21x Combine like terms: 6x + -21x = -15x -27 + -15x = -24 + 21x + -21x Combine like terms: 21x + -21x = 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 = 3 -15x = 3 Divide each side by '-15'. x = -0.2 Simplifying x = -0.2
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