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Simplifying 4(x + 5) + 10 = -2(x + 3) Reorder the terms: 4(5 + x) + 10 = -2(x + 3) (5 * 4 + x * 4) + 10 = -2(x + 3) (20 + 4x) + 10 = -2(x + 3) Reorder the terms: 20 + 10 + 4x = -2(x + 3) Combine like terms: 20 + 10 = 30 30 + 4x = -2(x + 3) Reorder the terms: 30 + 4x = -2(3 + x) 30 + 4x = (3 * -2 + x * -2) 30 + 4x = (-6 + -2x) Solving 30 + 4x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 30 + 4x + 2x = -6 + -2x + 2x Combine like terms: 4x + 2x = 6x 30 + 6x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 6x = -6 + 0 30 + 6x = -6 Add '-30' to each side of the equation. 30 + -30 + 6x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = -6 + -30 6x = -6 + -30 Combine like terms: -6 + -30 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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