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Simplifying 9(4x + -3) = 4(x + -2) + 17 Reorder the terms: 9(-3 + 4x) = 4(x + -2) + 17 (-3 * 9 + 4x * 9) = 4(x + -2) + 17 (-27 + 36x) = 4(x + -2) + 17 Reorder the terms: -27 + 36x = 4(-2 + x) + 17 -27 + 36x = (-2 * 4 + x * 4) + 17 -27 + 36x = (-8 + 4x) + 17 Reorder the terms: -27 + 36x = -8 + 17 + 4x Combine like terms: -8 + 17 = 9 -27 + 36x = 9 + 4x Solving -27 + 36x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -27 + 36x + -4x = 9 + 4x + -4x Combine like terms: 36x + -4x = 32x -27 + 32x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 32x = 9 + 0 -27 + 32x = 9 Add '27' to each side of the equation. -27 + 27 + 32x = 9 + 27 Combine like terms: -27 + 27 = 0 0 + 32x = 9 + 27 32x = 9 + 27 Combine like terms: 9 + 27 = 36 32x = 36 Divide each side by '32'. x = 1.125 Simplifying x = 1.125
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