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Simplifying 4(x + 3) = 20 + -3(x + 7) Reorder the terms: 4(3 + x) = 20 + -3(x + 7) (3 * 4 + x * 4) = 20 + -3(x + 7) (12 + 4x) = 20 + -3(x + 7) Reorder the terms: 12 + 4x = 20 + -3(7 + x) 12 + 4x = 20 + (7 * -3 + x * -3) 12 + 4x = 20 + (-21 + -3x) Combine like terms: 20 + -21 = -1 12 + 4x = -1 + -3x Solving 12 + 4x = -1 + -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 + 4x + 3x = -1 + -3x + 3x Combine like terms: 4x + 3x = 7x 12 + 7x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 7x = -1 + 0 12 + 7x = -1 Add '-12' to each side of the equation. 12 + -12 + 7x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = -1 + -12 7x = -1 + -12 Combine like terms: -1 + -12 = -13 7x = -13 Divide each side by '7'. x = -1.857142857 Simplifying x = -1.857142857
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