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Simplifying 8 + 3(x + -7) = 2 + -4(x + -7) Reorder the terms: 8 + 3(-7 + x) = 2 + -4(x + -7) 8 + (-7 * 3 + x * 3) = 2 + -4(x + -7) 8 + (-21 + 3x) = 2 + -4(x + -7) Combine like terms: 8 + -21 = -13 -13 + 3x = 2 + -4(x + -7) Reorder the terms: -13 + 3x = 2 + -4(-7 + x) -13 + 3x = 2 + (-7 * -4 + x * -4) -13 + 3x = 2 + (28 + -4x) Combine like terms: 2 + 28 = 30 -13 + 3x = 30 + -4x Solving -13 + 3x = 30 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -13 + 3x + 4x = 30 + -4x + 4x Combine like terms: 3x + 4x = 7x -13 + 7x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 -13 + 7x = 30 + 0 -13 + 7x = 30 Add '13' to each side of the equation. -13 + 13 + 7x = 30 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 30 + 13 7x = 30 + 13 Combine like terms: 30 + 13 = 43 7x = 43 Divide each side by '7'. x = 6.142857143 Simplifying x = 6.142857143
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