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Simplifying 7(x + -6) + -7 = 22x + -94 Reorder the terms: 7(-6 + x) + -7 = 22x + -94 (-6 * 7 + x * 7) + -7 = 22x + -94 (-42 + 7x) + -7 = 22x + -94 Reorder the terms: -42 + -7 + 7x = 22x + -94 Combine like terms: -42 + -7 = -49 -49 + 7x = 22x + -94 Reorder the terms: -49 + 7x = -94 + 22x Solving -49 + 7x = -94 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -49 + 7x + -22x = -94 + 22x + -22x Combine like terms: 7x + -22x = -15x -49 + -15x = -94 + 22x + -22x Combine like terms: 22x + -22x = 0 -49 + -15x = -94 + 0 -49 + -15x = -94 Add '49' to each side of the equation. -49 + 49 + -15x = -94 + 49 Combine like terms: -49 + 49 = 0 0 + -15x = -94 + 49 -15x = -94 + 49 Combine like terms: -94 + 49 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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