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Simplifying 9x + 4(2x + -3) = 7(2x + -3) + 7 Reorder the terms: 9x + 4(-3 + 2x) = 7(2x + -3) + 7 9x + (-3 * 4 + 2x * 4) = 7(2x + -3) + 7 9x + (-12 + 8x) = 7(2x + -3) + 7 Reorder the terms: -12 + 9x + 8x = 7(2x + -3) + 7 Combine like terms: 9x + 8x = 17x -12 + 17x = 7(2x + -3) + 7 Reorder the terms: -12 + 17x = 7(-3 + 2x) + 7 -12 + 17x = (-3 * 7 + 2x * 7) + 7 -12 + 17x = (-21 + 14x) + 7 Reorder the terms: -12 + 17x = -21 + 7 + 14x Combine like terms: -21 + 7 = -14 -12 + 17x = -14 + 14x Solving -12 + 17x = -14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -12 + 17x + -14x = -14 + 14x + -14x Combine like terms: 17x + -14x = 3x -12 + 3x = -14 + 14x + -14x Combine like terms: 14x + -14x = 0 -12 + 3x = -14 + 0 -12 + 3x = -14 Add '12' to each side of the equation. -12 + 12 + 3x = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -14 + 12 3x = -14 + 12 Combine like terms: -14 + 12 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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