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Simplifying 0.9x + 5.1x + -7 = 2(2.5 + -7) Reorder the terms: -7 + 0.9x + 5.1x = 2(2.5 + -7) Combine like terms: 0.9x + 5.1x = 6x -7 + 6x = 2(2.5 + -7) Combine like terms: 2.5 + -7 = -4.5 -7 + 6x = 2(-4.5) Multiply 2 * -4.5 -7 + 6x = -9 Solving -7 + 6x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6x = -9 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = -9 + 7 6x = -9 + 7 Combine like terms: -9 + 7 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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