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Simplifying 5(3x + -5) + x = 2(4x + -1) + 1 Reorder the terms: 5(-5 + 3x) + x = 2(4x + -1) + 1 (-5 * 5 + 3x * 5) + x = 2(4x + -1) + 1 (-25 + 15x) + x = 2(4x + -1) + 1 Combine like terms: 15x + x = 16x -25 + 16x = 2(4x + -1) + 1 Reorder the terms: -25 + 16x = 2(-1 + 4x) + 1 -25 + 16x = (-1 * 2 + 4x * 2) + 1 -25 + 16x = (-2 + 8x) + 1 Reorder the terms: -25 + 16x = -2 + 1 + 8x Combine like terms: -2 + 1 = -1 -25 + 16x = -1 + 8x Solving -25 + 16x = -1 + 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 + 16x + -8x = -1 + 8x + -8x Combine like terms: 16x + -8x = 8x -25 + 8x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -25 + 8x = -1 + 0 -25 + 8x = -1 Add '25' to each side of the equation. -25 + 25 + 8x = -1 + 25 Combine like terms: -25 + 25 = 0 0 + 8x = -1 + 25 8x = -1 + 25 Combine like terms: -1 + 25 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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