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Simplifying 24 + -46 = 3(x + -1) + -7 Combine like terms: 24 + -46 = -22 -22 = 3(x + -1) + -7 Reorder the terms: -22 = 3(-1 + x) + -7 -22 = (-1 * 3 + x * 3) + -7 -22 = (-3 + 3x) + -7 Reorder the terms: -22 = -3 + -7 + 3x Combine like terms: -3 + -7 = -10 -22 = -10 + 3x Solving -22 = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -22 + -3x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -22 + -3x = -10 + 0 -22 + -3x = -10 Add '22' to each side of the equation. -22 + 22 + -3x = -10 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = -10 + 22 -3x = -10 + 22 Combine like terms: -10 + 22 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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