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Simplifying -5(x + -5) + 2x = 4(x + -4) + x + 1 Reorder the terms: -5(-5 + x) + 2x = 4(x + -4) + x + 1 (-5 * -5 + x * -5) + 2x = 4(x + -4) + x + 1 (25 + -5x) + 2x = 4(x + -4) + x + 1 Combine like terms: -5x + 2x = -3x 25 + -3x = 4(x + -4) + x + 1 Reorder the terms: 25 + -3x = 4(-4 + x) + x + 1 25 + -3x = (-4 * 4 + x * 4) + x + 1 25 + -3x = (-16 + 4x) + x + 1 Reorder the terms: 25 + -3x = -16 + 1 + 4x + x Combine like terms: -16 + 1 = -15 25 + -3x = -15 + 4x + x Combine like terms: 4x + x = 5x 25 + -3x = -15 + 5x Solving 25 + -3x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 25 + -3x + -5x = -15 + 5x + -5x Combine like terms: -3x + -5x = -8x 25 + -8x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 25 + -8x = -15 + 0 25 + -8x = -15 Add '-25' to each side of the equation. 25 + -25 + -8x = -15 + -25 Combine like terms: 25 + -25 = 0 0 + -8x = -15 + -25 -8x = -15 + -25 Combine like terms: -15 + -25 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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