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Simplifying 0.6x + -0.2(10 + -3x) = -0.4x + -7 0.6x + (10 * -0.2 + -3x * -0.2) = -0.4x + -7 0.6x + (-2 + 0.6x) = -0.4x + -7 Reorder the terms: -2 + 0.6x + 0.6x = -0.4x + -7 Combine like terms: 0.6x + 0.6x = 1.2x -2 + 1.2x = -0.4x + -7 Reorder the terms: -2 + 1.2x = -7 + -0.4x Solving -2 + 1.2x = -7 + -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. -2 + 1.2x + 0.4x = -7 + -0.4x + 0.4x Combine like terms: 1.2x + 0.4x = 1.6x -2 + 1.6x = -7 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -2 + 1.6x = -7 + 0.0 -2 + 1.6x = -7 Add '2' to each side of the equation. -2 + 2 + 1.6x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 1.6x = -7 + 2 1.6x = -7 + 2 Combine like terms: -7 + 2 = -5 1.6x = -5 Divide each side by '1.6'. x = -3.125 Simplifying x = -3.125
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