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Simplifying 2(7x + -4) + (5 + -9x) = 1 + -3x Reorder the terms: 2(-4 + 7x) + (5 + -9x) = 1 + -3x (-4 * 2 + 7x * 2) + (5 + -9x) = 1 + -3x (-8 + 14x) + (5 + -9x) = 1 + -3x Remove parenthesis around (5 + -9x) -8 + 14x + 5 + -9x = 1 + -3x Reorder the terms: -8 + 5 + 14x + -9x = 1 + -3x Combine like terms: -8 + 5 = -3 -3 + 14x + -9x = 1 + -3x Combine like terms: 14x + -9x = 5x -3 + 5x = 1 + -3x Solving -3 + 5x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -3 + 5x + 3x = 1 + -3x + 3x Combine like terms: 5x + 3x = 8x -3 + 8x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 8x = 1 + 0 -3 + 8x = 1 Add '3' to each side of the equation. -3 + 3 + 8x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 1 + 3 8x = 1 + 3 Combine like terms: 1 + 3 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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