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Simplifying 0.09x + 5.1x + -7 = 2(2.5x + -3) Reorder the terms: -7 + 0.09x + 5.1x = 2(2.5x + -3) Combine like terms: 0.09x + 5.1x = 5.19x -7 + 5.19x = 2(2.5x + -3) Reorder the terms: -7 + 5.19x = 2(-3 + 2.5x) -7 + 5.19x = (-3 * 2 + 2.5x * 2) -7 + 5.19x = (-6 + 5x) Solving -7 + 5.19x = -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 + 5.19x + -5x = -6 + 5x + -5x Combine like terms: 5.19x + -5x = 0.19x -7 + 0.19x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 0.19x = -6 + 0 -7 + 0.19x = -6 Add '7' to each side of the equation. -7 + 7 + 0.19x = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 0.19x = -6 + 7 0.19x = -6 + 7 Combine like terms: -6 + 7 = 1 0.19x = 1 Divide each side by '0.19'. x = 5.263157895 Simplifying x = 5.263157895
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