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Simplifying 4(2x + -3) = 12(4x + -5) + -9(5x + -2) Reorder the terms: 4(-3 + 2x) = 12(4x + -5) + -9(5x + -2) (-3 * 4 + 2x * 4) = 12(4x + -5) + -9(5x + -2) (-12 + 8x) = 12(4x + -5) + -9(5x + -2) Reorder the terms: -12 + 8x = 12(-5 + 4x) + -9(5x + -2) -12 + 8x = (-5 * 12 + 4x * 12) + -9(5x + -2) -12 + 8x = (-60 + 48x) + -9(5x + -2) Reorder the terms: -12 + 8x = -60 + 48x + -9(-2 + 5x) -12 + 8x = -60 + 48x + (-2 * -9 + 5x * -9) -12 + 8x = -60 + 48x + (18 + -45x) Reorder the terms: -12 + 8x = -60 + 18 + 48x + -45x Combine like terms: -60 + 18 = -42 -12 + 8x = -42 + 48x + -45x Combine like terms: 48x + -45x = 3x -12 + 8x = -42 + 3x Solving -12 + 8x = -42 + 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. -12 + 8x + -3x = -42 + 3x + -3x Combine like terms: 8x + -3x = 5x -12 + 5x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 5x = -42 + 0 -12 + 5x = -42 Add '12' to each side of the equation. -12 + 12 + 5x = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = -42 + 12 5x = -42 + 12 Combine like terms: -42 + 12 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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