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Simplifying 3.4x + 10 + -2.8x = 1.2x + 17.8 Reorder the terms: 10 + 3.4x + -2.8x = 1.2x + 17.8 Combine like terms: 3.4x + -2.8x = 0.6x 10 + 0.6x = 1.2x + 17.8 Reorder the terms: 10 + 0.6x = 17.8 + 1.2x Solving 10 + 0.6x = 17.8 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 10 + 0.6x + -1.2x = 17.8 + 1.2x + -1.2x Combine like terms: 0.6x + -1.2x = -0.6x 10 + -0.6x = 17.8 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 10 + -0.6x = 17.8 + 0.0 10 + -0.6x = 17.8 Add '-10' to each side of the equation. 10 + -10 + -0.6x = 17.8 + -10 Combine like terms: 10 + -10 = 0 0 + -0.6x = 17.8 + -10 -0.6x = 17.8 + -10 Combine like terms: 17.8 + -10 = 7.8 -0.6x = 7.8 Divide each side by '-0.6'. x = -13 Simplifying x = -13
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