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Simplifying -6x + -5(3 + -3x) = 6(x + -5) + -21 -6x + (3 * -5 + -3x * -5) = 6(x + -5) + -21 -6x + (-15 + 15x) = 6(x + -5) + -21 Reorder the terms: -15 + -6x + 15x = 6(x + -5) + -21 Combine like terms: -6x + 15x = 9x -15 + 9x = 6(x + -5) + -21 Reorder the terms: -15 + 9x = 6(-5 + x) + -21 -15 + 9x = (-5 * 6 + x * 6) + -21 -15 + 9x = (-30 + 6x) + -21 Reorder the terms: -15 + 9x = -30 + -21 + 6x Combine like terms: -30 + -21 = -51 -15 + 9x = -51 + 6x Solving -15 + 9x = -51 + 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. -15 + 9x + -6x = -51 + 6x + -6x Combine like terms: 9x + -6x = 3x -15 + 3x = -51 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 3x = -51 + 0 -15 + 3x = -51 Add '15' to each side of the equation. -15 + 15 + 3x = -51 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -51 + 15 3x = -51 + 15 Combine like terms: -51 + 15 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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