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Simplifying 0.4x + -0.3(4 + -3x) = -0.7(x + -4) 0.4x + (4 * -0.3 + -3x * -0.3) = -0.7(x + -4) 0.4x + (-1.2 + 0.9x) = -0.7(x + -4) Reorder the terms: -1.2 + 0.4x + 0.9x = -0.7(x + -4) Combine like terms: 0.4x + 0.9x = 1.3x -1.2 + 1.3x = -0.7(x + -4) Reorder the terms: -1.2 + 1.3x = -0.7(-4 + x) -1.2 + 1.3x = (-4 * -0.7 + x * -0.7) -1.2 + 1.3x = (2.8 + -0.7x) Solving -1.2 + 1.3x = 2.8 + -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. -1.2 + 1.3x + 0.7x = 2.8 + -0.7x + 0.7x Combine like terms: 1.3x + 0.7x = 2x -1.2 + 2x = 2.8 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -1.2 + 2x = 2.8 + 0.0 -1.2 + 2x = 2.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + 2x = 2.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 2x = 2.8 + 1.2 2x = 2.8 + 1.2 Combine like terms: 2.8 + 1.2 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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