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Simplifying 11 + -42 = 4(x + -1) + -7 Combine like terms: 11 + -42 = -31 -31 = 4(x + -1) + -7 Reorder the terms: -31 = 4(-1 + x) + -7 -31 = (-1 * 4 + x * 4) + -7 -31 = (-4 + 4x) + -7 Reorder the terms: -31 = -4 + -7 + 4x Combine like terms: -4 + -7 = -11 -31 = -11 + 4x Solving -31 = -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. -31 + -4x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -31 + -4x = -11 + 0 -31 + -4x = -11 Add '31' to each side of the equation. -31 + 31 + -4x = -11 + 31 Combine like terms: -31 + 31 = 0 0 + -4x = -11 + 31 -4x = -11 + 31 Combine like terms: -11 + 31 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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