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Simplifying 7(2x + -1) + -3 = 6 + 6x Reorder the terms: 7(-1 + 2x) + -3 = 6 + 6x (-1 * 7 + 2x * 7) + -3 = 6 + 6x (-7 + 14x) + -3 = 6 + 6x Reorder the terms: -7 + -3 + 14x = 6 + 6x Combine like terms: -7 + -3 = -10 -10 + 14x = 6 + 6x Solving -10 + 14x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 14x + -6x = 6 + 6x + -6x Combine like terms: 14x + -6x = 8x -10 + 8x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 8x = 6 + 0 -10 + 8x = 6 Add '10' to each side of the equation. -10 + 10 + 8x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 6 + 10 8x = 6 + 10 Combine like terms: 6 + 10 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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