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Simplifying 0.40x + 21 = -0.20(8x + -25) + -2x Reorder the terms: 21 + 0.40x = -0.20(8x + -25) + -2x Reorder the terms: 21 + 0.40x = -0.20(-25 + 8x) + -2x 21 + 0.40x = (-25 * -0.20 + 8x * -0.20) + -2x 21 + 0.40x = (5 + -1.6x) + -2x Combine like terms: -1.6x + -2x = -3.6x 21 + 0.40x = 5 + -3.6x Solving 21 + 0.40x = 5 + -3.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.6x' to each side of the equation. 21 + 0.40x + 3.6x = 5 + -3.6x + 3.6x Combine like terms: 0.40x + 3.6x = 4x 21 + 4x = 5 + -3.6x + 3.6x Combine like terms: -3.6x + 3.6x = 0.0 21 + 4x = 5 + 0.0 21 + 4x = 5 Add '-21' to each side of the equation. 21 + -21 + 4x = 5 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 5 + -21 4x = 5 + -21 Combine like terms: 5 + -21 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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