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Simplifying 5(1 + -1x) + -2x + 1 = -3(2 + x) (1 * 5 + -1x * 5) + -2x + 1 = -3(2 + x) (5 + -5x) + -2x + 1 = -3(2 + x) Reorder the terms: 5 + 1 + -5x + -2x = -3(2 + x) Combine like terms: 5 + 1 = 6 6 + -5x + -2x = -3(2 + x) Combine like terms: -5x + -2x = -7x 6 + -7x = -3(2 + x) 6 + -7x = (2 * -3 + x * -3) 6 + -7x = (-6 + -3x) Solving 6 + -7x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + -7x + 3x = -6 + -3x + 3x Combine like terms: -7x + 3x = -4x 6 + -4x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -4x = -6 + 0 6 + -4x = -6 Add '-6' to each side of the equation. 6 + -6 + -4x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -6 + -6 -4x = -6 + -6 Combine like terms: -6 + -6 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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