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Simplifying 6 + -5x + 8 + 2x + 4x + -2 = 13 + 2 * 3 Reorder the terms: 6 + 8 + -2 + -5x + 2x + 4x = 13 + 2 * 3 Combine like terms: 6 + 8 = 14 14 + -2 + -5x + 2x + 4x = 13 + 2 * 3 Combine like terms: 14 + -2 = 12 12 + -5x + 2x + 4x = 13 + 2 * 3 Combine like terms: -5x + 2x = -3x 12 + -3x + 4x = 13 + 2 * 3 Combine like terms: -3x + 4x = 1x 12 + 1x = 13 + 2 * 3 Multiply 2 * 3 12 + 1x = 13 + 6 Combine like terms: 13 + 6 = 19 12 + 1x = 19 Solving 12 + 1x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1x = 19 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 19 + -12 1x = 19 + -12 Combine like terms: 19 + -12 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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