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Simplifying 11 + -46 = 4(x + -5) + -3 Combine like terms: 11 + -46 = -35 -35 = 4(x + -5) + -3 Reorder the terms: -35 = 4(-5 + x) + -3 -35 = (-5 * 4 + x * 4) + -3 -35 = (-20 + 4x) + -3 Reorder the terms: -35 = -20 + -3 + 4x Combine like terms: -20 + -3 = -23 -35 = -23 + 4x Solving -35 = -23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -35 + -4x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + -4x = -23 + 0 -35 + -4x = -23 Add '35' to each side of the equation. -35 + 35 + -4x = -23 + 35 Combine like terms: -35 + 35 = 0 0 + -4x = -23 + 35 -4x = -23 + 35 Combine like terms: -23 + 35 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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