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Simplifying -0.2(x + -6) + x = 0.3(4 + -4) Reorder the terms: -0.2(-6 + x) + x = 0.3(4 + -4) (-6 * -0.2 + x * -0.2) + x = 0.3(4 + -4) (1.2 + -0.2x) + x = 0.3(4 + -4) Combine like terms: -0.2x + x = 0.8x 1.2 + 0.8x = 0.3(4 + -4) Combine like terms: 4 + -4 = 0 1.2 + 0.8x = 0.3(0) Multiply 0.3 * 0 1.2 + 0.8x = 0.0 Anything times zero is zero. 1.2 + 0.8x = 0.0 Solving 1.2 + 0.8x = 0.0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.8x = 0.0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.8x = 0.0 + -1.2 0.8x = 0.0 + -1.2 Combine like terms: 0.0 + -1.2 = -1.2 0.8x = -1.2 Divide each side by '0.8'. x = -1.5 Simplifying x = -1.5
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