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Simplifying 17 + -46 = 3(x + -5) + -5 Combine like terms: 17 + -46 = -29 -29 = 3(x + -5) + -5 Reorder the terms: -29 = 3(-5 + x) + -5 -29 = (-5 * 3 + x * 3) + -5 -29 = (-15 + 3x) + -5 Reorder the terms: -29 = -15 + -5 + 3x Combine like terms: -15 + -5 = -20 -29 = -20 + 3x Solving -29 = -20 + 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. -29 + -3x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 -29 + -3x = -20 + 0 -29 + -3x = -20 Add '29' to each side of the equation. -29 + 29 + -3x = -20 + 29 Combine like terms: -29 + 29 = 0 0 + -3x = -20 + 29 -3x = -20 + 29 Combine like terms: -20 + 29 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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