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Simplifying 7(x + -2) + -5 = 6(x + -1) Reorder the terms: 7(-2 + x) + -5 = 6(x + -1) (-2 * 7 + x * 7) + -5 = 6(x + -1) (-14 + 7x) + -5 = 6(x + -1) Reorder the terms: -14 + -5 + 7x = 6(x + -1) Combine like terms: -14 + -5 = -19 -19 + 7x = 6(x + -1) Reorder the terms: -19 + 7x = 6(-1 + x) -19 + 7x = (-1 * 6 + x * 6) -19 + 7x = (-6 + 6x) Solving -19 + 7x = -6 + 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. -19 + 7x + -6x = -6 + 6x + -6x Combine like terms: 7x + -6x = 1x -19 + 1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -19 + 1x = -6 + 0 -19 + 1x = -6 Add '19' to each side of the equation. -19 + 19 + 1x = -6 + 19 Combine like terms: -19 + 19 = 0 0 + 1x = -6 + 19 1x = -6 + 19 Combine like terms: -6 + 19 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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