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Simplifying -3x + 8 + -4(x + -1) = (2x + -6) + -4x + 4 Reorder the terms: -3x + 8 + -4(-1 + x) = (2x + -6) + -4x + 4 -3x + 8 + (-1 * -4 + x * -4) = (2x + -6) + -4x + 4 -3x + 8 + (4 + -4x) = (2x + -6) + -4x + 4 Reorder the terms: 8 + 4 + -3x + -4x = (2x + -6) + -4x + 4 Combine like terms: 8 + 4 = 12 12 + -3x + -4x = (2x + -6) + -4x + 4 Combine like terms: -3x + -4x = -7x 12 + -7x = (2x + -6) + -4x + 4 Reorder the terms: 12 + -7x = (-6 + 2x) + -4x + 4 Remove parenthesis around (-6 + 2x) 12 + -7x = -6 + 2x + -4x + 4 Reorder the terms: 12 + -7x = -6 + 4 + 2x + -4x Combine like terms: -6 + 4 = -2 12 + -7x = -2 + 2x + -4x Combine like terms: 2x + -4x = -2x 12 + -7x = -2 + -2x Solving 12 + -7x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + -7x + 2x = -2 + -2x + 2x Combine like terms: -7x + 2x = -5x 12 + -5x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -5x = -2 + 0 12 + -5x = -2 Add '-12' to each side of the equation. 12 + -12 + -5x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -2 + -12 -5x = -2 + -12 Combine like terms: -2 + -12 = -14 -5x = -14 Divide each side by '-5'. x = 2.8 Simplifying x = 2.8
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