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Simplifying 4(x + -5) + -1 = -6(-3x + 3) + -8x Reorder the terms: 4(-5 + x) + -1 = -6(-3x + 3) + -8x (-5 * 4 + x * 4) + -1 = -6(-3x + 3) + -8x (-20 + 4x) + -1 = -6(-3x + 3) + -8x Reorder the terms: -20 + -1 + 4x = -6(-3x + 3) + -8x Combine like terms: -20 + -1 = -21 -21 + 4x = -6(-3x + 3) + -8x Reorder the terms: -21 + 4x = -6(3 + -3x) + -8x -21 + 4x = (3 * -6 + -3x * -6) + -8x -21 + 4x = (-18 + 18x) + -8x Combine like terms: 18x + -8x = 10x -21 + 4x = -18 + 10x Solving -21 + 4x = -18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -21 + 4x + -10x = -18 + 10x + -10x Combine like terms: 4x + -10x = -6x -21 + -6x = -18 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + -6x = -18 + 0 -21 + -6x = -18 Add '21' to each side of the equation. -21 + 21 + -6x = -18 + 21 Combine like terms: -21 + 21 = 0 0 + -6x = -18 + 21 -6x = -18 + 21 Combine like terms: -18 + 21 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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