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Simplifying 8x + 7(-3x + -6) = -52 + -3x Reorder the terms: 8x + 7(-6 + -3x) = -52 + -3x 8x + (-6 * 7 + -3x * 7) = -52 + -3x 8x + (-42 + -21x) = -52 + -3x Reorder the terms: -42 + 8x + -21x = -52 + -3x Combine like terms: 8x + -21x = -13x -42 + -13x = -52 + -3x Solving -42 + -13x = -52 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -42 + -13x + 3x = -52 + -3x + 3x Combine like terms: -13x + 3x = -10x -42 + -10x = -52 + -3x + 3x Combine like terms: -3x + 3x = 0 -42 + -10x = -52 + 0 -42 + -10x = -52 Add '42' to each side of the equation. -42 + 42 + -10x = -52 + 42 Combine like terms: -42 + 42 = 0 0 + -10x = -52 + 42 -10x = -52 + 42 Combine like terms: -52 + 42 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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