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Simplifying -7x + -2(-3 + -3x) = -4x + -6(8 + -2x) -7x + (-3 * -2 + -3x * -2) = -4x + -6(8 + -2x) -7x + (6 + 6x) = -4x + -6(8 + -2x) Reorder the terms: 6 + -7x + 6x = -4x + -6(8 + -2x) Combine like terms: -7x + 6x = -1x 6 + -1x = -4x + -6(8 + -2x) 6 + -1x = -4x + (8 * -6 + -2x * -6) 6 + -1x = -4x + (-48 + 12x) Reorder the terms: 6 + -1x = -48 + -4x + 12x Combine like terms: -4x + 12x = 8x 6 + -1x = -48 + 8x Solving 6 + -1x = -48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + -1x + -8x = -48 + 8x + -8x Combine like terms: -1x + -8x = -9x 6 + -9x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -9x = -48 + 0 6 + -9x = -48 Add '-6' to each side of the equation. 6 + -6 + -9x = -48 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -48 + -6 -9x = -48 + -6 Combine like terms: -48 + -6 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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