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Simplifying 2(3x + -4) + -1 = 2x + 7 Reorder the terms: 2(-4 + 3x) + -1 = 2x + 7 (-4 * 2 + 3x * 2) + -1 = 2x + 7 (-8 + 6x) + -1 = 2x + 7 Reorder the terms: -8 + -1 + 6x = 2x + 7 Combine like terms: -8 + -1 = -9 -9 + 6x = 2x + 7 Reorder the terms: -9 + 6x = 7 + 2x Solving -9 + 6x = 7 + 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. -9 + 6x + -2x = 7 + 2x + -2x Combine like terms: 6x + -2x = 4x -9 + 4x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 4x = 7 + 0 -9 + 4x = 7 Add '9' to each side of the equation. -9 + 9 + 4x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 7 + 9 4x = 7 + 9 Combine like terms: 7 + 9 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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