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Simplifying 20 + -43 = 4(x + -1) + -7 Combine like terms: 20 + -43 = -23 -23 = 4(x + -1) + -7 Reorder the terms: -23 = 4(-1 + x) + -7 -23 = (-1 * 4 + x * 4) + -7 -23 = (-4 + 4x) + -7 Reorder the terms: -23 = -4 + -7 + 4x Combine like terms: -4 + -7 = -11 -23 = -11 + 4x Solving -23 = -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. -23 + -4x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -23 + -4x = -11 + 0 -23 + -4x = -11 Add '23' to each side of the equation. -23 + 23 + -4x = -11 + 23 Combine like terms: -23 + 23 = 0 0 + -4x = -11 + 23 -4x = -11 + 23 Combine like terms: -11 + 23 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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