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Simplifying 3(2x + -1.4) + -0.5(7x + 5.6) = 0 Reorder the terms: 3(-1.4 + 2x) + -0.5(7x + 5.6) = 0 (-1.4 * 3 + 2x * 3) + -0.5(7x + 5.6) = 0 (-4.2 + 6x) + -0.5(7x + 5.6) = 0 Reorder the terms: -4.2 + 6x + -0.5(5.6 + 7x) = 0 -4.2 + 6x + (5.6 * -0.5 + 7x * -0.5) = 0 -4.2 + 6x + (-2.8 + -3.5x) = 0 Reorder the terms: -4.2 + -2.8 + 6x + -3.5x = 0 Combine like terms: -4.2 + -2.8 = -7 -7 + 6x + -3.5x = 0 Combine like terms: 6x + -3.5x = 2.5x -7 + 2.5x = 0 Solving -7 + 2.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2.5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2.5x = 0 + 7 2.5x = 0 + 7 Combine like terms: 0 + 7 = 7 2.5x = 7 Divide each side by '2.5'. x = 2.8 Simplifying x = 2.8
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