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Simplifying 7(6x + -1) + -2x = 36 + -3x Reorder the terms: 7(-1 + 6x) + -2x = 36 + -3x (-1 * 7 + 6x * 7) + -2x = 36 + -3x (-7 + 42x) + -2x = 36 + -3x Combine like terms: 42x + -2x = 40x -7 + 40x = 36 + -3x Solving -7 + 40x = 36 + -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. -7 + 40x + 3x = 36 + -3x + 3x Combine like terms: 40x + 3x = 43x -7 + 43x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 43x = 36 + 0 -7 + 43x = 36 Add '7' to each side of the equation. -7 + 7 + 43x = 36 + 7 Combine like terms: -7 + 7 = 0 0 + 43x = 36 + 7 43x = 36 + 7 Combine like terms: 36 + 7 = 43 43x = 43 Divide each side by '43'. x = 1 Simplifying x = 1
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