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Simplifying -0.2(-0.48 + -7x) = 1.7x (-0.48 * -0.2 + -7x * -0.2) = 1.7x (0.096 + 1.4x) = 1.7x Solving 0.096 + 1.4x = 1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.7x' to each side of the equation. 0.096 + 1.4x + -1.7x = 1.7x + -1.7x Combine like terms: 1.4x + -1.7x = -0.3x 0.096 + -0.3x = 1.7x + -1.7x Combine like terms: 1.7x + -1.7x = 0.0 0.096 + -0.3x = 0.0 Add '-0.096' to each side of the equation. 0.096 + -0.096 + -0.3x = 0.0 + -0.096 Combine like terms: 0.096 + -0.096 = 0.000 0.000 + -0.3x = 0.0 + -0.096 -0.3x = 0.0 + -0.096 Combine like terms: 0.0 + -0.096 = -0.096 -0.3x = -0.096 Divide each side by '-0.3'. x = 0.32 Simplifying x = 0.32
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