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Simplifying 0.9x + 5.1x + -7 = 2(2.5x + -3) Reorder the terms: -7 + 0.9x + 5.1x = 2(2.5x + -3) Combine like terms: 0.9x + 5.1x = 6x -7 + 6x = 2(2.5x + -3) Reorder the terms: -7 + 6x = 2(-3 + 2.5x) -7 + 6x = (-3 * 2 + 2.5x * 2) -7 + 6x = (-6 + 5x) Solving -7 + 6x = -6 + 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. -7 + 6x + -5x = -6 + 5x + -5x Combine like terms: 6x + -5x = 1x -7 + 1x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 1x = -6 + 0 -7 + 1x = -6 Add '7' to each side of the equation. -7 + 7 + 1x = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -6 + 7 1x = -6 + 7 Combine like terms: -6 + 7 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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