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Simplifying -6(4x + 1) + 7x + 9(x + 3) = 4 Reorder the terms: -6(1 + 4x) + 7x + 9(x + 3) = 4 (1 * -6 + 4x * -6) + 7x + 9(x + 3) = 4 (-6 + -24x) + 7x + 9(x + 3) = 4 Reorder the terms: -6 + -24x + 7x + 9(3 + x) = 4 -6 + -24x + 7x + (3 * 9 + x * 9) = 4 -6 + -24x + 7x + (27 + 9x) = 4 Reorder the terms: -6 + 27 + -24x + 7x + 9x = 4 Combine like terms: -6 + 27 = 21 21 + -24x + 7x + 9x = 4 Combine like terms: -24x + 7x = -17x 21 + -17x + 9x = 4 Combine like terms: -17x + 9x = -8x 21 + -8x = 4 Solving 21 + -8x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -8x = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = 4 + -21 -8x = 4 + -21 Combine like terms: 4 + -21 = -17 -8x = -17 Divide each side by '-8'. x = 2.125 Simplifying x = 2.125
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