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Simplifying -6x + -15(x + 2) = -4(5x + 2) Reorder the terms: -6x + -15(2 + x) = -4(5x + 2) -6x + (2 * -15 + x * -15) = -4(5x + 2) -6x + (-30 + -15x) = -4(5x + 2) Reorder the terms: -30 + -6x + -15x = -4(5x + 2) Combine like terms: -6x + -15x = -21x -30 + -21x = -4(5x + 2) Reorder the terms: -30 + -21x = -4(2 + 5x) -30 + -21x = (2 * -4 + 5x * -4) -30 + -21x = (-8 + -20x) Solving -30 + -21x = -8 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -30 + -21x + 20x = -8 + -20x + 20x Combine like terms: -21x + 20x = -1x -30 + -1x = -8 + -20x + 20x Combine like terms: -20x + 20x = 0 -30 + -1x = -8 + 0 -30 + -1x = -8 Add '30' to each side of the equation. -30 + 30 + -1x = -8 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = -8 + 30 -1x = -8 + 30 Combine like terms: -8 + 30 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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