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Simplifying -0.4(x + 0.4) = -0.67(x + -0.67) Reorder the terms: -0.4(0.4 + x) = -0.67(x + -0.67) (0.4 * -0.4 + x * -0.4) = -0.67(x + -0.67) (-0.16 + -0.4x) = -0.67(x + -0.67) Reorder the terms: -0.16 + -0.4x = -0.67(-0.67 + x) -0.16 + -0.4x = (-0.67 * -0.67 + x * -0.67) -0.16 + -0.4x = (0.4489 + -0.67x) Solving -0.16 + -0.4x = 0.4489 + -0.67x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.67x' to each side of the equation. -0.16 + -0.4x + 0.67x = 0.4489 + -0.67x + 0.67x Combine like terms: -0.4x + 0.67x = 0.27x -0.16 + 0.27x = 0.4489 + -0.67x + 0.67x Combine like terms: -0.67x + 0.67x = 0.00 -0.16 + 0.27x = 0.4489 + 0.00 -0.16 + 0.27x = 0.4489 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.27x = 0.4489 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.27x = 0.4489 + 0.16 0.27x = 0.4489 + 0.16 Combine like terms: 0.4489 + 0.16 = 0.6089 0.27x = 0.6089 Divide each side by '0.27'. x = 2.255185185 Simplifying x = 2.255185185
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