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Simplifying 0.4x + -0.5(2x + 7) = -0.7(x + 2) Reorder the terms: 0.4x + -0.5(7 + 2x) = -0.7(x + 2) 0.4x + (7 * -0.5 + 2x * -0.5) = -0.7(x + 2) 0.4x + (-3.5 + -1x) = -0.7(x + 2) Reorder the terms: -3.5 + 0.4x + -1x = -0.7(x + 2) Combine like terms: 0.4x + -1x = -0.6x -3.5 + -0.6x = -0.7(x + 2) Reorder the terms: -3.5 + -0.6x = -0.7(2 + x) -3.5 + -0.6x = (2 * -0.7 + x * -0.7) -3.5 + -0.6x = (-1.4 + -0.7x) Solving -3.5 + -0.6x = -1.4 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. -3.5 + -0.6x + 0.7x = -1.4 + -0.7x + 0.7x Combine like terms: -0.6x + 0.7x = 0.1x -3.5 + 0.1x = -1.4 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -3.5 + 0.1x = -1.4 + 0.0 -3.5 + 0.1x = -1.4 Add '3.5' to each side of the equation. -3.5 + 3.5 + 0.1x = -1.4 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 0.1x = -1.4 + 3.5 0.1x = -1.4 + 3.5 Combine like terms: -1.4 + 3.5 = 2.1 0.1x = 2.1 Divide each side by '0.1'. x = 21 Simplifying x = 21
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