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Simplifying 3x + -5 = 4(x + 5) + -3(x + -7) Reorder the terms: -5 + 3x = 4(x + 5) + -3(x + -7) Reorder the terms: -5 + 3x = 4(5 + x) + -3(x + -7) -5 + 3x = (5 * 4 + x * 4) + -3(x + -7) -5 + 3x = (20 + 4x) + -3(x + -7) Reorder the terms: -5 + 3x = 20 + 4x + -3(-7 + x) -5 + 3x = 20 + 4x + (-7 * -3 + x * -3) -5 + 3x = 20 + 4x + (21 + -3x) Reorder the terms: -5 + 3x = 20 + 21 + 4x + -3x Combine like terms: 20 + 21 = 41 -5 + 3x = 41 + 4x + -3x Combine like terms: 4x + -3x = 1x -5 + 3x = 41 + 1x Solving -5 + 3x = 41 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 3x + -1x = 41 + 1x + -1x Combine like terms: 3x + -1x = 2x -5 + 2x = 41 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + 2x = 41 + 0 -5 + 2x = 41 Add '5' to each side of the equation. -5 + 5 + 2x = 41 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 41 + 5 2x = 41 + 5 Combine like terms: 41 + 5 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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