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Simplifying -2(x + -6) + -93 = 8x + -7(x + 3) Reorder the terms: -2(-6 + x) + -93 = 8x + -7(x + 3) (-6 * -2 + x * -2) + -93 = 8x + -7(x + 3) (12 + -2x) + -93 = 8x + -7(x + 3) Reorder the terms: 12 + -93 + -2x = 8x + -7(x + 3) Combine like terms: 12 + -93 = -81 -81 + -2x = 8x + -7(x + 3) Reorder the terms: -81 + -2x = 8x + -7(3 + x) -81 + -2x = 8x + (3 * -7 + x * -7) -81 + -2x = 8x + (-21 + -7x) Reorder the terms: -81 + -2x = -21 + 8x + -7x Combine like terms: 8x + -7x = 1x -81 + -2x = -21 + 1x Solving -81 + -2x = -21 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -81 + -2x + -1x = -21 + 1x + -1x Combine like terms: -2x + -1x = -3x -81 + -3x = -21 + 1x + -1x Combine like terms: 1x + -1x = 0 -81 + -3x = -21 + 0 -81 + -3x = -21 Add '81' to each side of the equation. -81 + 81 + -3x = -21 + 81 Combine like terms: -81 + 81 = 0 0 + -3x = -21 + 81 -3x = -21 + 81 Combine like terms: -21 + 81 = 60 -3x = 60 Divide each side by '-3'. x = -20 Simplifying x = -20
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