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Simplifying 0.3x + -0.7(5 + -2x) = -0.4(x + -7) 0.3x + (5 * -0.7 + -2x * -0.7) = -0.4(x + -7) 0.3x + (-3.5 + 1.4x) = -0.4(x + -7) Reorder the terms: -3.5 + 0.3x + 1.4x = -0.4(x + -7) Combine like terms: 0.3x + 1.4x = 1.7x -3.5 + 1.7x = -0.4(x + -7) Reorder the terms: -3.5 + 1.7x = -0.4(-7 + x) -3.5 + 1.7x = (-7 * -0.4 + x * -0.4) -3.5 + 1.7x = (2.8 + -0.4x) Solving -3.5 + 1.7x = 2.8 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -3.5 + 1.7x + 0.4x = 2.8 + -0.4x + 0.4x Combine like terms: 1.7x + 0.4x = 2.1x -3.5 + 2.1x = 2.8 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -3.5 + 2.1x = 2.8 + 0.0 -3.5 + 2.1x = 2.8 Add '3.5' to each side of the equation. -3.5 + 3.5 + 2.1x = 2.8 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 2.1x = 2.8 + 3.5 2.1x = 2.8 + 3.5 Combine like terms: 2.8 + 3.5 = 6.3 2.1x = 6.3 Divide each side by '2.1'. x = 3 Simplifying x = 3
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