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