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Simplifying 2x + 3(x + 7) + -1(9x + 5) = 4 + -6(6x + -3) Reorder the terms: 2x + 3(7 + x) + -1(9x + 5) = 4 + -6(6x + -3) 2x + (7 * 3 + x * 3) + -1(9x + 5) = 4 + -6(6x + -3) 2x + (21 + 3x) + -1(9x + 5) = 4 + -6(6x + -3) Reorder the terms: 2x + 21 + 3x + -1(5 + 9x) = 4 + -6(6x + -3) 2x + 21 + 3x + (5 * -1 + 9x * -1) = 4 + -6(6x + -3) 2x + 21 + 3x + (-5 + -9x) = 4 + -6(6x + -3) Reorder the terms: 21 + -5 + 2x + 3x + -9x = 4 + -6(6x + -3) Combine like terms: 21 + -5 = 16 16 + 2x + 3x + -9x = 4 + -6(6x + -3) Combine like terms: 2x + 3x = 5x 16 + 5x + -9x = 4 + -6(6x + -3) Combine like terms: 5x + -9x = -4x 16 + -4x = 4 + -6(6x + -3) Reorder the terms: 16 + -4x = 4 + -6(-3 + 6x) 16 + -4x = 4 + (-3 * -6 + 6x * -6) 16 + -4x = 4 + (18 + -36x) Combine like terms: 4 + 18 = 22 16 + -4x = 22 + -36x Solving 16 + -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. 16 + -4x + 36x = 22 + -36x + 36x Combine like terms: -4x + 36x = 32x 16 + 32x = 22 + -36x + 36x Combine like terms: -36x + 36x = 0 16 + 32x = 22 + 0 16 + 32x = 22 Add '-16' to each side of the equation. 16 + -16 + 32x = 22 + -16 Combine like terms: 16 + -16 = 0 0 + 32x = 22 + -16 32x = 22 + -16 Combine like terms: 22 + -16 = 6 32x = 6 Divide each side by '32'. x = 0.1875 Simplifying x = 0.1875
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