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Simplifying 1 + 6(x + -7) = 4 + -3(x + -7) Reorder the terms: 1 + 6(-7 + x) = 4 + -3(x + -7) 1 + (-7 * 6 + x * 6) = 4 + -3(x + -7) 1 + (-42 + 6x) = 4 + -3(x + -7) Combine like terms: 1 + -42 = -41 -41 + 6x = 4 + -3(x + -7) Reorder the terms: -41 + 6x = 4 + -3(-7 + x) -41 + 6x = 4 + (-7 * -3 + x * -3) -41 + 6x = 4 + (21 + -3x) Combine like terms: 4 + 21 = 25 -41 + 6x = 25 + -3x Solving -41 + 6x = 25 + -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. -41 + 6x + 3x = 25 + -3x + 3x Combine like terms: 6x + 3x = 9x -41 + 9x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 -41 + 9x = 25 + 0 -41 + 9x = 25 Add '41' to each side of the equation. -41 + 41 + 9x = 25 + 41 Combine like terms: -41 + 41 = 0 0 + 9x = 25 + 41 9x = 25 + 41 Combine like terms: 25 + 41 = 66 9x = 66 Divide each side by '9'. x = 7.333333333 Simplifying x = 7.333333333
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