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Simplifying 15 + -46 = 3(x + -2) + -7 Combine like terms: 15 + -46 = -31 -31 = 3(x + -2) + -7 Reorder the terms: -31 = 3(-2 + x) + -7 -31 = (-2 * 3 + x * 3) + -7 -31 = (-6 + 3x) + -7 Reorder the terms: -31 = -6 + -7 + 3x Combine like terms: -6 + -7 = -13 -31 = -13 + 3x Solving -31 = -13 + 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. -31 + -3x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + -3x = -13 + 0 -31 + -3x = -13 Add '31' to each side of the equation. -31 + 31 + -3x = -13 + 31 Combine like terms: -31 + 31 = 0 0 + -3x = -13 + 31 -3x = -13 + 31 Combine like terms: -13 + 31 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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