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Simplifying 4(x + 5) = -3(2x + 10) Reorder the terms: 4(5 + x) = -3(2x + 10) (5 * 4 + x * 4) = -3(2x + 10) (20 + 4x) = -3(2x + 10) Reorder the terms: 20 + 4x = -3(10 + 2x) 20 + 4x = (10 * -3 + 2x * -3) 20 + 4x = (-30 + -6x) Solving 20 + 4x = -30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 20 + 4x + 6x = -30 + -6x + 6x Combine like terms: 4x + 6x = 10x 20 + 10x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 20 + 10x = -30 + 0 20 + 10x = -30 Add '-20' to each side of the equation. 20 + -20 + 10x = -30 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = -30 + -20 10x = -30 + -20 Combine like terms: -30 + -20 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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