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Simplifying 2.4x + -5 + 15 = 0.1x + 7 + -2.1x Reorder the terms: -5 + 15 + 2.4x = 0.1x + 7 + -2.1x Combine like terms: -5 + 15 = 10 10 + 2.4x = 0.1x + 7 + -2.1x Reorder the terms: 10 + 2.4x = 7 + 0.1x + -2.1x Combine like terms: 0.1x + -2.1x = -2x 10 + 2.4x = 7 + -2x Solving 10 + 2.4x = 7 + -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. 10 + 2.4x + 2x = 7 + -2x + 2x Combine like terms: 2.4x + 2x = 4.4x 10 + 4.4x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 4.4x = 7 + 0 10 + 4.4x = 7 Add '-10' to each side of the equation. 10 + -10 + 4.4x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 4.4x = 7 + -10 4.4x = 7 + -10 Combine like terms: 7 + -10 = -3 4.4x = -3 Divide each side by '4.4'. x = -0.6818181818 Simplifying x = -0.6818181818
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