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Simplifying 7(-2x + -6) + 1 = 9(-2x + 7) Reorder the terms: 7(-6 + -2x) + 1 = 9(-2x + 7) (-6 * 7 + -2x * 7) + 1 = 9(-2x + 7) (-42 + -14x) + 1 = 9(-2x + 7) Reorder the terms: -42 + 1 + -14x = 9(-2x + 7) Combine like terms: -42 + 1 = -41 -41 + -14x = 9(-2x + 7) Reorder the terms: -41 + -14x = 9(7 + -2x) -41 + -14x = (7 * 9 + -2x * 9) -41 + -14x = (63 + -18x) Solving -41 + -14x = 63 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -41 + -14x + 18x = 63 + -18x + 18x Combine like terms: -14x + 18x = 4x -41 + 4x = 63 + -18x + 18x Combine like terms: -18x + 18x = 0 -41 + 4x = 63 + 0 -41 + 4x = 63 Add '41' to each side of the equation. -41 + 41 + 4x = 63 + 41 Combine like terms: -41 + 41 = 0 0 + 4x = 63 + 41 4x = 63 + 41 Combine like terms: 63 + 41 = 104 4x = 104 Divide each side by '4'. x = 26 Simplifying x = 26
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