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