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Simplifying 13 + -47 = 3(x + -1) + -7 Combine like terms: 13 + -47 = -34 -34 = 3(x + -1) + -7 Reorder the terms: -34 = 3(-1 + x) + -7 -34 = (-1 * 3 + x * 3) + -7 -34 = (-3 + 3x) + -7 Reorder the terms: -34 = -3 + -7 + 3x Combine like terms: -3 + -7 = -10 -34 = -10 + 3x Solving -34 = -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. -34 + -3x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -34 + -3x = -10 + 0 -34 + -3x = -10 Add '34' to each side of the equation. -34 + 34 + -3x = -10 + 34 Combine like terms: -34 + 34 = 0 0 + -3x = -10 + 34 -3x = -10 + 34 Combine like terms: -10 + 34 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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