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Simplifying 5x + -2(3 + -4x) = 4(x + -4) + -26 5x + (3 * -2 + -4x * -2) = 4(x + -4) + -26 5x + (-6 + 8x) = 4(x + -4) + -26 Reorder the terms: -6 + 5x + 8x = 4(x + -4) + -26 Combine like terms: 5x + 8x = 13x -6 + 13x = 4(x + -4) + -26 Reorder the terms: -6 + 13x = 4(-4 + x) + -26 -6 + 13x = (-4 * 4 + x * 4) + -26 -6 + 13x = (-16 + 4x) + -26 Reorder the terms: -6 + 13x = -16 + -26 + 4x Combine like terms: -16 + -26 = -42 -6 + 13x = -42 + 4x Solving -6 + 13x = -42 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 13x + -4x = -42 + 4x + -4x Combine like terms: 13x + -4x = 9x -6 + 9x = -42 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 9x = -42 + 0 -6 + 9x = -42 Add '6' to each side of the equation. -6 + 6 + 9x = -42 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -42 + 6 9x = -42 + 6 Combine like terms: -42 + 6 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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