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Simplifying -4x + -18 = 5(x + 5) + -7 Reorder the terms: -18 + -4x = 5(x + 5) + -7 Reorder the terms: -18 + -4x = 5(5 + x) + -7 -18 + -4x = (5 * 5 + x * 5) + -7 -18 + -4x = (25 + 5x) + -7 Reorder the terms: -18 + -4x = 25 + -7 + 5x Combine like terms: 25 + -7 = 18 -18 + -4x = 18 + 5x Solving -18 + -4x = 18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + -4x + -5x = 18 + 5x + -5x Combine like terms: -4x + -5x = -9x -18 + -9x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -9x = 18 + 0 -18 + -9x = 18 Add '18' to each side of the equation. -18 + 18 + -9x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = 18 + 18 -9x = 18 + 18 Combine like terms: 18 + 18 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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