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Simplifying 0.4(10x + 15) = 18 + -4(x + -3) Reorder the terms: 0.4(15 + 10x) = 18 + -4(x + -3) (15 * 0.4 + 10x * 0.4) = 18 + -4(x + -3) (6 + 4x) = 18 + -4(x + -3) Reorder the terms: 6 + 4x = 18 + -4(-3 + x) 6 + 4x = 18 + (-3 * -4 + x * -4) 6 + 4x = 18 + (12 + -4x) Combine like terms: 18 + 12 = 30 6 + 4x = 30 + -4x Solving 6 + 4x = 30 + -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. 6 + 4x + 4x = 30 + -4x + 4x Combine like terms: 4x + 4x = 8x 6 + 8x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 8x = 30 + 0 6 + 8x = 30 Add '-6' to each side of the equation. 6 + -6 + 8x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 30 + -6 8x = 30 + -6 Combine like terms: 30 + -6 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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