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Simplifying -3(0.234 + -1x) = 2(x + 0.974) (0.234 * -3 + -1x * -3) = 2(x + 0.974) (-0.702 + 3x) = 2(x + 0.974) Reorder the terms: -0.702 + 3x = 2(0.974 + x) -0.702 + 3x = (0.974 * 2 + x * 2) -0.702 + 3x = (1.948 + 2x) Solving -0.702 + 3x = 1.948 + 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. -0.702 + 3x + -2x = 1.948 + 2x + -2x Combine like terms: 3x + -2x = 1x -0.702 + 1x = 1.948 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.702 + 1x = 1.948 + 0 -0.702 + 1x = 1.948 Add '0.702' to each side of the equation. -0.702 + 0.702 + 1x = 1.948 + 0.702 Combine like terms: -0.702 + 0.702 = 0.000 0.000 + 1x = 1.948 + 0.702 1x = 1.948 + 0.702 Combine like terms: 1.948 + 0.702 = 2.65 1x = 2.65 Divide each side by '1'. x = 2.65 Simplifying x = 2.65
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