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Simplifying 6x + -3(2 + -3x) = 4(2x + -7) 6x + (2 * -3 + -3x * -3) = 4(2x + -7) 6x + (-6 + 9x) = 4(2x + -7) Reorder the terms: -6 + 6x + 9x = 4(2x + -7) Combine like terms: 6x + 9x = 15x -6 + 15x = 4(2x + -7) Reorder the terms: -6 + 15x = 4(-7 + 2x) -6 + 15x = (-7 * 4 + 2x * 4) -6 + 15x = (-28 + 8x) Solving -6 + 15x = -28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 15x + -8x = -28 + 8x + -8x Combine like terms: 15x + -8x = 7x -6 + 7x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 7x = -28 + 0 -6 + 7x = -28 Add '6' to each side of the equation. -6 + 6 + 7x = -28 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = -28 + 6 7x = -28 + 6 Combine like terms: -28 + 6 = -22 7x = -22 Divide each side by '7'. x = -3.142857143 Simplifying x = -3.142857143
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