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Simplifying 8x + -3(x + -7) = 4(3x + 2) Reorder the terms: 8x + -3(-7 + x) = 4(3x + 2) 8x + (-7 * -3 + x * -3) = 4(3x + 2) 8x + (21 + -3x) = 4(3x + 2) Reorder the terms: 21 + 8x + -3x = 4(3x + 2) Combine like terms: 8x + -3x = 5x 21 + 5x = 4(3x + 2) Reorder the terms: 21 + 5x = 4(2 + 3x) 21 + 5x = (2 * 4 + 3x * 4) 21 + 5x = (8 + 12x) Solving 21 + 5x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 21 + 5x + -12x = 8 + 12x + -12x Combine like terms: 5x + -12x = -7x 21 + -7x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -7x = 8 + 0 21 + -7x = 8 Add '-21' to each side of the equation. 21 + -21 + -7x = 8 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 8 + -21 -7x = 8 + -21 Combine like terms: 8 + -21 = -13 -7x = -13 Divide each side by '-7'. x = 1.857142857 Simplifying x = 1.857142857
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