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Simplifying 5 + -3(10 + -7x) = 4(2x + 10) 5 + (10 * -3 + -7x * -3) = 4(2x + 10) 5 + (-30 + 21x) = 4(2x + 10) Combine like terms: 5 + -30 = -25 -25 + 21x = 4(2x + 10) Reorder the terms: -25 + 21x = 4(10 + 2x) -25 + 21x = (10 * 4 + 2x * 4) -25 + 21x = (40 + 8x) Solving -25 + 21x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -25 + 21x + -8x = 40 + 8x + -8x Combine like terms: 21x + -8x = 13x -25 + 13x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -25 + 13x = 40 + 0 -25 + 13x = 40 Add '25' to each side of the equation. -25 + 25 + 13x = 40 + 25 Combine like terms: -25 + 25 = 0 0 + 13x = 40 + 25 13x = 40 + 25 Combine like terms: 40 + 25 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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