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Simplifying 12(x + -7) + -10 = 22x + -154 Reorder the terms: 12(-7 + x) + -10 = 22x + -154 (-7 * 12 + x * 12) + -10 = 22x + -154 (-84 + 12x) + -10 = 22x + -154 Reorder the terms: -84 + -10 + 12x = 22x + -154 Combine like terms: -84 + -10 = -94 -94 + 12x = 22x + -154 Reorder the terms: -94 + 12x = -154 + 22x Solving -94 + 12x = -154 + 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. -94 + 12x + -22x = -154 + 22x + -22x Combine like terms: 12x + -22x = -10x -94 + -10x = -154 + 22x + -22x Combine like terms: 22x + -22x = 0 -94 + -10x = -154 + 0 -94 + -10x = -154 Add '94' to each side of the equation. -94 + 94 + -10x = -154 + 94 Combine like terms: -94 + 94 = 0 0 + -10x = -154 + 94 -10x = -154 + 94 Combine like terms: -154 + 94 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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