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Simplifying 5x + -8 + -2x + 14 = 2x + 8 + 2x + 13 Reorder the terms: -8 + 14 + 5x + -2x = 2x + 8 + 2x + 13 Combine like terms: -8 + 14 = 6 6 + 5x + -2x = 2x + 8 + 2x + 13 Combine like terms: 5x + -2x = 3x 6 + 3x = 2x + 8 + 2x + 13 Reorder the terms: 6 + 3x = 8 + 13 + 2x + 2x Combine like terms: 8 + 13 = 21 6 + 3x = 21 + 2x + 2x Combine like terms: 2x + 2x = 4x 6 + 3x = 21 + 4x Solving 6 + 3x = 21 + 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 + 3x + -4x = 21 + 4x + -4x Combine like terms: 3x + -4x = -1x 6 + -1x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -1x = 21 + 0 6 + -1x = 21 Add '-6' to each side of the equation. 6 + -6 + -1x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 21 + -6 -1x = 21 + -6 Combine like terms: 21 + -6 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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