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Simplifying 5x + -9x + 28 = 2x + 40 Reorder the terms: 28 + 5x + -9x = 2x + 40 Combine like terms: 5x + -9x = -4x 28 + -4x = 2x + 40 Reorder the terms: 28 + -4x = 40 + 2x Solving 28 + -4x = 40 + 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. 28 + -4x + -2x = 40 + 2x + -2x Combine like terms: -4x + -2x = -6x 28 + -6x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + -6x = 40 + 0 28 + -6x = 40 Add '-28' to each side of the equation. 28 + -28 + -6x = 40 + -28 Combine like terms: 28 + -28 = 0 0 + -6x = 40 + -28 -6x = 40 + -28 Combine like terms: 40 + -28 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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