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Simplifying 9(4x + -7) + -12 = 10 + -3x Reorder the terms: 9(-7 + 4x) + -12 = 10 + -3x (-7 * 9 + 4x * 9) + -12 = 10 + -3x (-63 + 36x) + -12 = 10 + -3x Reorder the terms: -63 + -12 + 36x = 10 + -3x Combine like terms: -63 + -12 = -75 -75 + 36x = 10 + -3x Solving -75 + 36x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -75 + 36x + 3x = 10 + -3x + 3x Combine like terms: 36x + 3x = 39x -75 + 39x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -75 + 39x = 10 + 0 -75 + 39x = 10 Add '75' to each side of the equation. -75 + 75 + 39x = 10 + 75 Combine like terms: -75 + 75 = 0 0 + 39x = 10 + 75 39x = 10 + 75 Combine like terms: 10 + 75 = 85 39x = 85 Divide each side by '39'. x = 2.179487179 Simplifying x = 2.179487179
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