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Simplifying 2x + 3(x + 7) + -9(x + 5) = 4 + -6(6x + -3) Reorder the terms: 2x + 3(7 + x) + -9(x + 5) = 4 + -6(6x + -3) 2x + (7 * 3 + x * 3) + -9(x + 5) = 4 + -6(6x + -3) 2x + (21 + 3x) + -9(x + 5) = 4 + -6(6x + -3) Reorder the terms: 2x + 21 + 3x + -9(5 + x) = 4 + -6(6x + -3) 2x + 21 + 3x + (5 * -9 + x * -9) = 4 + -6(6x + -3) 2x + 21 + 3x + (-45 + -9x) = 4 + -6(6x + -3) Reorder the terms: 21 + -45 + 2x + 3x + -9x = 4 + -6(6x + -3) Combine like terms: 21 + -45 = -24 -24 + 2x + 3x + -9x = 4 + -6(6x + -3) Combine like terms: 2x + 3x = 5x -24 + 5x + -9x = 4 + -6(6x + -3) Combine like terms: 5x + -9x = -4x -24 + -4x = 4 + -6(6x + -3) Reorder the terms: -24 + -4x = 4 + -6(-3 + 6x) -24 + -4x = 4 + (-3 * -6 + 6x * -6) -24 + -4x = 4 + (18 + -36x) Combine like terms: 4 + 18 = 22 -24 + -4x = 22 + -36x Solving -24 + -4x = 22 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -24 + -4x + 36x = 22 + -36x + 36x Combine like terms: -4x + 36x = 32x -24 + 32x = 22 + -36x + 36x Combine like terms: -36x + 36x = 0 -24 + 32x = 22 + 0 -24 + 32x = 22 Add '24' to each side of the equation. -24 + 24 + 32x = 22 + 24 Combine like terms: -24 + 24 = 0 0 + 32x = 22 + 24 32x = 22 + 24 Combine like terms: 22 + 24 = 46 32x = 46 Divide each side by '32'. x = 1.4375 Simplifying x = 1.4375
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