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Simplifying 7(x + 3) + -5x + 4 = 2(4 + -1x) + 5 Reorder the terms: 7(3 + x) + -5x + 4 = 2(4 + -1x) + 5 (3 * 7 + x * 7) + -5x + 4 = 2(4 + -1x) + 5 (21 + 7x) + -5x + 4 = 2(4 + -1x) + 5 Reorder the terms: 21 + 4 + 7x + -5x = 2(4 + -1x) + 5 Combine like terms: 21 + 4 = 25 25 + 7x + -5x = 2(4 + -1x) + 5 Combine like terms: 7x + -5x = 2x 25 + 2x = 2(4 + -1x) + 5 25 + 2x = (4 * 2 + -1x * 2) + 5 25 + 2x = (8 + -2x) + 5 Reorder the terms: 25 + 2x = 8 + 5 + -2x Combine like terms: 8 + 5 = 13 25 + 2x = 13 + -2x Solving 25 + 2x = 13 + -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. 25 + 2x + 2x = 13 + -2x + 2x Combine like terms: 2x + 2x = 4x 25 + 4x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 25 + 4x = 13 + 0 25 + 4x = 13 Add '-25' to each side of the equation. 25 + -25 + 4x = 13 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 13 + -25 4x = 13 + -25 Combine like terms: 13 + -25 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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