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Simplifying 3(2x + -5) + -7 = 4(x + -9) Reorder the terms: 3(-5 + 2x) + -7 = 4(x + -9) (-5 * 3 + 2x * 3) + -7 = 4(x + -9) (-15 + 6x) + -7 = 4(x + -9) Reorder the terms: -15 + -7 + 6x = 4(x + -9) Combine like terms: -15 + -7 = -22 -22 + 6x = 4(x + -9) Reorder the terms: -22 + 6x = 4(-9 + x) -22 + 6x = (-9 * 4 + x * 4) -22 + 6x = (-36 + 4x) Solving -22 + 6x = -36 + 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. -22 + 6x + -4x = -36 + 4x + -4x Combine like terms: 6x + -4x = 2x -22 + 2x = -36 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + 2x = -36 + 0 -22 + 2x = -36 Add '22' to each side of the equation. -22 + 22 + 2x = -36 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = -36 + 22 2x = -36 + 22 Combine like terms: -36 + 22 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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