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Simplifying 11 + -46 = 4(x + -1) + -7 Combine like terms: 11 + -46 = -35 -35 = 4(x + -1) + -7 Reorder the terms: -35 = 4(-1 + x) + -7 -35 = (-1 * 4 + x * 4) + -7 -35 = (-4 + 4x) + -7 Reorder the terms: -35 = -4 + -7 + 4x Combine like terms: -4 + -7 = -11 -35 = -11 + 4x Solving -35 = -11 + 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 = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + -4x = -11 + 0 -35 + -4x = -11 Add '35' to each side of the equation. -35 + 35 + -4x = -11 + 35 Combine like terms: -35 + 35 = 0 0 + -4x = -11 + 35 -4x = -11 + 35 Combine like terms: -11 + 35 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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