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Simplifying 25 + -1(2x + -3) = 7x + -1(x + 4) Reorder the terms: 25 + -1(-3 + 2x) = 7x + -1(x + 4) 25 + (-3 * -1 + 2x * -1) = 7x + -1(x + 4) 25 + (3 + -2x) = 7x + -1(x + 4) Combine like terms: 25 + 3 = 28 28 + -2x = 7x + -1(x + 4) Reorder the terms: 28 + -2x = 7x + -1(4 + x) 28 + -2x = 7x + (4 * -1 + x * -1) 28 + -2x = 7x + (-4 + -1x) Reorder the terms: 28 + -2x = -4 + 7x + -1x Combine like terms: 7x + -1x = 6x 28 + -2x = -4 + 6x Solving 28 + -2x = -4 + 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. 28 + -2x + -6x = -4 + 6x + -6x Combine like terms: -2x + -6x = -8x 28 + -8x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -8x = -4 + 0 28 + -8x = -4 Add '-28' to each side of the equation. 28 + -28 + -8x = -4 + -28 Combine like terms: 28 + -28 = 0 0 + -8x = -4 + -28 -8x = -4 + -28 Combine like terms: -4 + -28 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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