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Simplifying -3 + -3(5x + -2) = -33x + 5(1 + 2x) Reorder the terms: -3 + -3(-2 + 5x) = -33x + 5(1 + 2x) -3 + (-2 * -3 + 5x * -3) = -33x + 5(1 + 2x) -3 + (6 + -15x) = -33x + 5(1 + 2x) Combine like terms: -3 + 6 = 3 3 + -15x = -33x + 5(1 + 2x) 3 + -15x = -33x + (1 * 5 + 2x * 5) 3 + -15x = -33x + (5 + 10x) Reorder the terms: 3 + -15x = 5 + -33x + 10x Combine like terms: -33x + 10x = -23x 3 + -15x = 5 + -23x Solving 3 + -15x = 5 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 3 + -15x + 23x = 5 + -23x + 23x Combine like terms: -15x + 23x = 8x 3 + 8x = 5 + -23x + 23x Combine like terms: -23x + 23x = 0 3 + 8x = 5 + 0 3 + 8x = 5 Add '-3' to each side of the equation. 3 + -3 + 8x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 5 + -3 8x = 5 + -3 Combine like terms: 5 + -3 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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