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Simplifying -7(x + 1) + 3 = -18 + -5x Reorder the terms: -7(1 + x) + 3 = -18 + -5x (1 * -7 + x * -7) + 3 = -18 + -5x (-7 + -7x) + 3 = -18 + -5x Reorder the terms: -7 + 3 + -7x = -18 + -5x Combine like terms: -7 + 3 = -4 -4 + -7x = -18 + -5x Solving -4 + -7x = -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. -4 + -7x + 5x = -18 + -5x + 5x Combine like terms: -7x + 5x = -2x -4 + -2x = -18 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + -2x = -18 + 0 -4 + -2x = -18 Add '4' to each side of the equation. -4 + 4 + -2x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -18 + 4 -2x = -18 + 4 Combine like terms: -18 + 4 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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