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Simplifying 3(x + -14) + 3x + -20 + 4(x + 6) + 12x = 0 Reorder the terms: 3(-14 + x) + 3x + -20 + 4(x + 6) + 12x = 0 (-14 * 3 + x * 3) + 3x + -20 + 4(x + 6) + 12x = 0 (-42 + 3x) + 3x + -20 + 4(x + 6) + 12x = 0 Reorder the terms: -42 + 3x + 3x + -20 + 4(6 + x) + 12x = 0 -42 + 3x + 3x + -20 + (6 * 4 + x * 4) + 12x = 0 -42 + 3x + 3x + -20 + (24 + 4x) + 12x = 0 Reorder the terms: -42 + -20 + 24 + 3x + 3x + 4x + 12x = 0 Combine like terms: -42 + -20 = -62 -62 + 24 + 3x + 3x + 4x + 12x = 0 Combine like terms: -62 + 24 = -38 -38 + 3x + 3x + 4x + 12x = 0 Combine like terms: 3x + 3x = 6x -38 + 6x + 4x + 12x = 0 Combine like terms: 6x + 4x = 10x -38 + 10x + 12x = 0 Combine like terms: 10x + 12x = 22x -38 + 22x = 0 Solving -38 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 22x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 22x = 0 + 38 22x = 0 + 38 Combine like terms: 0 + 38 = 38 22x = 38 Divide each side by '22'. x = 1.727272727 Simplifying x = 1.727272727
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