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Simplifying 0.2x + -0.6(15 + -4x) = -0.7(x + -6) 0.2x + (15 * -0.6 + -4x * -0.6) = -0.7(x + -6) 0.2x + (-9 + 2.4x) = -0.7(x + -6) Reorder the terms: -9 + 0.2x + 2.4x = -0.7(x + -6) Combine like terms: 0.2x + 2.4x = 2.6x -9 + 2.6x = -0.7(x + -6) Reorder the terms: -9 + 2.6x = -0.7(-6 + x) -9 + 2.6x = (-6 * -0.7 + x * -0.7) -9 + 2.6x = (4.2 + -0.7x) Solving -9 + 2.6x = 4.2 + -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. -9 + 2.6x + 0.7x = 4.2 + -0.7x + 0.7x Combine like terms: 2.6x + 0.7x = 3.3x -9 + 3.3x = 4.2 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -9 + 3.3x = 4.2 + 0.0 -9 + 3.3x = 4.2 Add '9' to each side of the equation. -9 + 9 + 3.3x = 4.2 + 9 Combine like terms: -9 + 9 = 0 0 + 3.3x = 4.2 + 9 3.3x = 4.2 + 9 Combine like terms: 4.2 + 9 = 13.2 3.3x = 13.2 Divide each side by '3.3'. x = 4 Simplifying x = 4
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