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Simplifying 4(x + -1) + -5 = 2x + -9 Reorder the terms: 4(-1 + x) + -5 = 2x + -9 (-1 * 4 + x * 4) + -5 = 2x + -9 (-4 + 4x) + -5 = 2x + -9 Reorder the terms: -4 + -5 + 4x = 2x + -9 Combine like terms: -4 + -5 = -9 -9 + 4x = 2x + -9 Reorder the terms: -9 + 4x = -9 + 2x Add '9' to each side of the equation. -9 + 9 + 4x = -9 + 9 + 2x Combine like terms: -9 + 9 = 0 0 + 4x = -9 + 9 + 2x 4x = -9 + 9 + 2x Combine like terms: -9 + 9 = 0 4x = 0 + 2x 4x = 2x Solving 4x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 2x + -2x Combine like terms: 2x + -2x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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