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Simplifying 7(x + -3) + 5x = 4x + -9 Reorder the terms: 7(-3 + x) + 5x = 4x + -9 (-3 * 7 + x * 7) + 5x = 4x + -9 (-21 + 7x) + 5x = 4x + -9 Combine like terms: 7x + 5x = 12x -21 + 12x = 4x + -9 Reorder the terms: -21 + 12x = -9 + 4x Solving -21 + 12x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + 12x + -4x = -9 + 4x + -4x Combine like terms: 12x + -4x = 8x -21 + 8x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 8x = -9 + 0 -21 + 8x = -9 Add '21' to each side of the equation. -21 + 21 + 8x = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = -9 + 21 8x = -9 + 21 Combine like terms: -9 + 21 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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