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Simplifying 21(x + -1) = 6(x + -4) Reorder the terms: 21(-1 + x) = 6(x + -4) (-1 * 21 + x * 21) = 6(x + -4) (-21 + 21x) = 6(x + -4) Reorder the terms: -21 + 21x = 6(-4 + x) -21 + 21x = (-4 * 6 + x * 6) -21 + 21x = (-24 + 6x) Solving -21 + 21x = -24 + 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. -21 + 21x + -6x = -24 + 6x + -6x Combine like terms: 21x + -6x = 15x -21 + 15x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 15x = -24 + 0 -21 + 15x = -24 Add '21' to each side of the equation. -21 + 21 + 15x = -24 + 21 Combine like terms: -21 + 21 = 0 0 + 15x = -24 + 21 15x = -24 + 21 Combine like terms: -24 + 21 = -3 15x = -3 Divide each side by '15'. x = -0.2 Simplifying x = -0.2
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