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Simplifying 6 + -2x = 4x + 8 + -1(x + -13) Reorder the terms: 6 + -2x = 4x + 8 + -1(-13 + x) 6 + -2x = 4x + 8 + (-13 * -1 + x * -1) 6 + -2x = 4x + 8 + (13 + -1x) Reorder the terms: 6 + -2x = 8 + 13 + 4x + -1x Combine like terms: 8 + 13 = 21 6 + -2x = 21 + 4x + -1x Combine like terms: 4x + -1x = 3x 6 + -2x = 21 + 3x Solving 6 + -2x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -2x + -3x = 21 + 3x + -3x Combine like terms: -2x + -3x = -5x 6 + -5x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -5x = 21 + 0 6 + -5x = 21 Add '-6' to each side of the equation. 6 + -6 + -5x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 21 + -6 -5x = 21 + -6 Combine like terms: 21 + -6 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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