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Simplifying 0.40(10x + 25) = -10 + -4(x + 3) Reorder the terms: 0.40(25 + 10x) = -10 + -4(x + 3) (25 * 0.40 + 10x * 0.40) = -10 + -4(x + 3) (10 + 4x) = -10 + -4(x + 3) Reorder the terms: 10 + 4x = -10 + -4(3 + x) 10 + 4x = -10 + (3 * -4 + x * -4) 10 + 4x = -10 + (-12 + -4x) Combine like terms: -10 + -12 = -22 10 + 4x = -22 + -4x Solving 10 + 4x = -22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + 4x + 4x = -22 + -4x + 4x Combine like terms: 4x + 4x = 8x 10 + 8x = -22 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 8x = -22 + 0 10 + 8x = -22 Add '-10' to each side of the equation. 10 + -10 + 8x = -22 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = -22 + -10 8x = -22 + -10 Combine like terms: -22 + -10 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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