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Simplifying 3(0.4x + 7) + -4(0.8x + -3) = 2 Reorder the terms: 3(7 + 0.4x) + -4(0.8x + -3) = 2 (7 * 3 + 0.4x * 3) + -4(0.8x + -3) = 2 (21 + 1.2x) + -4(0.8x + -3) = 2 Reorder the terms: 21 + 1.2x + -4(-3 + 0.8x) = 2 21 + 1.2x + (-3 * -4 + 0.8x * -4) = 2 21 + 1.2x + (12 + -3.2x) = 2 Reorder the terms: 21 + 12 + 1.2x + -3.2x = 2 Combine like terms: 21 + 12 = 33 33 + 1.2x + -3.2x = 2 Combine like terms: 1.2x + -3.2x = -2x 33 + -2x = 2 Solving 33 + -2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -2x = 2 + -33 Combine like terms: 33 + -33 = 0 0 + -2x = 2 + -33 -2x = 2 + -33 Combine like terms: 2 + -33 = -31 -2x = -31 Divide each side by '-2'. x = 15.5 Simplifying x = 15.5
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