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Simplifying 2x + -7 + 2(3x + -4) = 1 Reorder the terms: 2x + -7 + 2(-4 + 3x) = 1 2x + -7 + (-4 * 2 + 3x * 2) = 1 2x + -7 + (-8 + 6x) = 1 Reorder the terms: -7 + -8 + 2x + 6x = 1 Combine like terms: -7 + -8 = -15 -15 + 2x + 6x = 1 Combine like terms: 2x + 6x = 8x -15 + 8x = 1 Solving -15 + 8x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 1 + 15 8x = 1 + 15 Combine like terms: 1 + 15 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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