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Simplifying 5x + -5 = 4(x + -6) + -9 Reorder the terms: -5 + 5x = 4(x + -6) + -9 Reorder the terms: -5 + 5x = 4(-6 + x) + -9 -5 + 5x = (-6 * 4 + x * 4) + -9 -5 + 5x = (-24 + 4x) + -9 Reorder the terms: -5 + 5x = -24 + -9 + 4x Combine like terms: -24 + -9 = -33 -5 + 5x = -33 + 4x Solving -5 + 5x = -33 + 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. -5 + 5x + -4x = -33 + 4x + -4x Combine like terms: 5x + -4x = 1x -5 + 1x = -33 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 1x = -33 + 0 -5 + 1x = -33 Add '5' to each side of the equation. -5 + 5 + 1x = -33 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -33 + 5 1x = -33 + 5 Combine like terms: -33 + 5 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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