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Simplifying 0.2(4x + -3) + -3x = 2.1(3 + -2x) + -3.4 Reorder the terms: 0.2(-3 + 4x) + -3x = 2.1(3 + -2x) + -3.4 (-3 * 0.2 + 4x * 0.2) + -3x = 2.1(3 + -2x) + -3.4 (-0.6 + 0.8x) + -3x = 2.1(3 + -2x) + -3.4 Combine like terms: 0.8x + -3x = -2.2x -0.6 + -2.2x = 2.1(3 + -2x) + -3.4 -0.6 + -2.2x = (3 * 2.1 + -2x * 2.1) + -3.4 -0.6 + -2.2x = (6.3 + -4.2x) + -3.4 Reorder the terms: -0.6 + -2.2x = 6.3 + -3.4 + -4.2x Combine like terms: 6.3 + -3.4 = 2.9 -0.6 + -2.2x = 2.9 + -4.2x Solving -0.6 + -2.2x = 2.9 + -4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.2x' to each side of the equation. -0.6 + -2.2x + 4.2x = 2.9 + -4.2x + 4.2x Combine like terms: -2.2x + 4.2x = 2x -0.6 + 2x = 2.9 + -4.2x + 4.2x Combine like terms: -4.2x + 4.2x = 0.0 -0.6 + 2x = 2.9 + 0.0 -0.6 + 2x = 2.9 Add '0.6' to each side of the equation. -0.6 + 0.6 + 2x = 2.9 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 2x = 2.9 + 0.6 2x = 2.9 + 0.6 Combine like terms: 2.9 + 0.6 = 3.5 2x = 3.5 Divide each side by '2'. x = 1.75 Simplifying x = 1.75
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