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Simplifying 5 + -3x + -1(-4x + 6) = 8x + 13 Reorder the terms: 5 + -3x + -1(6 + -4x) = 8x + 13 5 + -3x + (6 * -1 + -4x * -1) = 8x + 13 5 + -3x + (-6 + 4x) = 8x + 13 Reorder the terms: 5 + -6 + -3x + 4x = 8x + 13 Combine like terms: 5 + -6 = -1 -1 + -3x + 4x = 8x + 13 Combine like terms: -3x + 4x = 1x -1 + 1x = 8x + 13 Reorder the terms: -1 + 1x = 13 + 8x Solving -1 + 1x = 13 + 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. -1 + 1x + -8x = 13 + 8x + -8x Combine like terms: 1x + -8x = -7x -1 + -7x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -7x = 13 + 0 -1 + -7x = 13 Add '1' to each side of the equation. -1 + 1 + -7x = 13 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 13 + 1 -7x = 13 + 1 Combine like terms: 13 + 1 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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