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Simplifying 3(x + -3) + -12 = 19x + -85 Reorder the terms: 3(-3 + x) + -12 = 19x + -85 (-3 * 3 + x * 3) + -12 = 19x + -85 (-9 + 3x) + -12 = 19x + -85 Reorder the terms: -9 + -12 + 3x = 19x + -85 Combine like terms: -9 + -12 = -21 -21 + 3x = 19x + -85 Reorder the terms: -21 + 3x = -85 + 19x Solving -21 + 3x = -85 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -21 + 3x + -19x = -85 + 19x + -19x Combine like terms: 3x + -19x = -16x -21 + -16x = -85 + 19x + -19x Combine like terms: 19x + -19x = 0 -21 + -16x = -85 + 0 -21 + -16x = -85 Add '21' to each side of the equation. -21 + 21 + -16x = -85 + 21 Combine like terms: -21 + 21 = 0 0 + -16x = -85 + 21 -16x = -85 + 21 Combine like terms: -85 + 21 = -64 -16x = -64 Divide each side by '-16'. x = 4 Simplifying x = 4
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