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Simplifying 6(-1x + -5) = -4(x + -3) + -1x Reorder the terms: 6(-5 + -1x) = -4(x + -3) + -1x (-5 * 6 + -1x * 6) = -4(x + -3) + -1x (-30 + -6x) = -4(x + -3) + -1x Reorder the terms: -30 + -6x = -4(-3 + x) + -1x -30 + -6x = (-3 * -4 + x * -4) + -1x -30 + -6x = (12 + -4x) + -1x Combine like terms: -4x + -1x = -5x -30 + -6x = 12 + -5x Solving -30 + -6x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -30 + -6x + 5x = 12 + -5x + 5x Combine like terms: -6x + 5x = -1x -30 + -1x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 -30 + -1x = 12 + 0 -30 + -1x = 12 Add '30' to each side of the equation. -30 + 30 + -1x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 12 + 30 -1x = 12 + 30 Combine like terms: 12 + 30 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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