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Simplifying 8 + 3(x + -7) = 3 + -6(x + -7) Reorder the terms: 8 + 3(-7 + x) = 3 + -6(x + -7) 8 + (-7 * 3 + x * 3) = 3 + -6(x + -7) 8 + (-21 + 3x) = 3 + -6(x + -7) Combine like terms: 8 + -21 = -13 -13 + 3x = 3 + -6(x + -7) Reorder the terms: -13 + 3x = 3 + -6(-7 + x) -13 + 3x = 3 + (-7 * -6 + x * -6) -13 + 3x = 3 + (42 + -6x) Combine like terms: 3 + 42 = 45 -13 + 3x = 45 + -6x Solving -13 + 3x = 45 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -13 + 3x + 6x = 45 + -6x + 6x Combine like terms: 3x + 6x = 9x -13 + 9x = 45 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 9x = 45 + 0 -13 + 9x = 45 Add '13' to each side of the equation. -13 + 13 + 9x = 45 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 45 + 13 9x = 45 + 13 Combine like terms: 45 + 13 = 58 9x = 58 Divide each side by '9'. x = 6.444444444 Simplifying x = 6.444444444
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