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Simplifying 6(3x + -7) = -5(6 + -1x) + 1 Reorder the terms: 6(-7 + 3x) = -5(6 + -1x) + 1 (-7 * 6 + 3x * 6) = -5(6 + -1x) + 1 (-42 + 18x) = -5(6 + -1x) + 1 -42 + 18x = (6 * -5 + -1x * -5) + 1 -42 + 18x = (-30 + 5x) + 1 Reorder the terms: -42 + 18x = -30 + 1 + 5x Combine like terms: -30 + 1 = -29 -42 + 18x = -29 + 5x Solving -42 + 18x = -29 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -42 + 18x + -5x = -29 + 5x + -5x Combine like terms: 18x + -5x = 13x -42 + 13x = -29 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 13x = -29 + 0 -42 + 13x = -29 Add '42' to each side of the equation. -42 + 42 + 13x = -29 + 42 Combine like terms: -42 + 42 = 0 0 + 13x = -29 + 42 13x = -29 + 42 Combine like terms: -29 + 42 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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