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Simplifying 3(-5x + -7) = 3(-8x + 2) Reorder the terms: 3(-7 + -5x) = 3(-8x + 2) (-7 * 3 + -5x * 3) = 3(-8x + 2) (-21 + -15x) = 3(-8x + 2) Reorder the terms: -21 + -15x = 3(2 + -8x) -21 + -15x = (2 * 3 + -8x * 3) -21 + -15x = (6 + -24x) Solving -21 + -15x = 6 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -21 + -15x + 24x = 6 + -24x + 24x Combine like terms: -15x + 24x = 9x -21 + 9x = 6 + -24x + 24x Combine like terms: -24x + 24x = 0 -21 + 9x = 6 + 0 -21 + 9x = 6 Add '21' to each side of the equation. -21 + 21 + 9x = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 9x = 6 + 21 9x = 6 + 21 Combine like terms: 6 + 21 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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