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Simplifying 4(x + -5) + -7 = 13 + -1x Reorder the terms: 4(-5 + x) + -7 = 13 + -1x (-5 * 4 + x * 4) + -7 = 13 + -1x (-20 + 4x) + -7 = 13 + -1x Reorder the terms: -20 + -7 + 4x = 13 + -1x Combine like terms: -20 + -7 = -27 -27 + 4x = 13 + -1x Solving -27 + 4x = 13 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -27 + 4x + x = 13 + -1x + x Combine like terms: 4x + x = 5x -27 + 5x = 13 + -1x + x Combine like terms: -1x + x = 0 -27 + 5x = 13 + 0 -27 + 5x = 13 Add '27' to each side of the equation. -27 + 27 + 5x = 13 + 27 Combine like terms: -27 + 27 = 0 0 + 5x = 13 + 27 5x = 13 + 27 Combine like terms: 13 + 27 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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