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