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Simplifying 13 + -46 = 3(x + -2) + -6 Combine like terms: 13 + -46 = -33 -33 = 3(x + -2) + -6 Reorder the terms: -33 = 3(-2 + x) + -6 -33 = (-2 * 3 + x * 3) + -6 -33 = (-6 + 3x) + -6 Reorder the terms: -33 = -6 + -6 + 3x Combine like terms: -6 + -6 = -12 -33 = -12 + 3x Solving -33 = -12 + 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. -33 + -3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -33 + -3x = -12 + 0 -33 + -3x = -12 Add '33' to each side of the equation. -33 + 33 + -3x = -12 + 33 Combine like terms: -33 + 33 = 0 0 + -3x = -12 + 33 -3x = -12 + 33 Combine like terms: -12 + 33 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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