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Simplifying 4(x + -7) + 12x = 20 + -5x Reorder the terms: 4(-7 + x) + 12x = 20 + -5x (-7 * 4 + x * 4) + 12x = 20 + -5x (-28 + 4x) + 12x = 20 + -5x Combine like terms: 4x + 12x = 16x -28 + 16x = 20 + -5x Solving -28 + 16x = 20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -28 + 16x + 5x = 20 + -5x + 5x Combine like terms: 16x + 5x = 21x -28 + 21x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -28 + 21x = 20 + 0 -28 + 21x = 20 Add '28' to each side of the equation. -28 + 28 + 21x = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 21x = 20 + 28 21x = 20 + 28 Combine like terms: 20 + 28 = 48 21x = 48 Divide each side by '21'. x = 2.285714286 Simplifying x = 2.285714286
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