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Simplifying 3x + 5(1 + -2x) = 3x + -2(2x + 5) 3x + (1 * 5 + -2x * 5) = 3x + -2(2x + 5) 3x + (5 + -10x) = 3x + -2(2x + 5) Reorder the terms: 5 + 3x + -10x = 3x + -2(2x + 5) Combine like terms: 3x + -10x = -7x 5 + -7x = 3x + -2(2x + 5) Reorder the terms: 5 + -7x = 3x + -2(5 + 2x) 5 + -7x = 3x + (5 * -2 + 2x * -2) 5 + -7x = 3x + (-10 + -4x) Reorder the terms: 5 + -7x = -10 + 3x + -4x Combine like terms: 3x + -4x = -1x 5 + -7x = -10 + -1x Solving 5 + -7x = -10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + -7x + x = -10 + -1x + x Combine like terms: -7x + x = -6x 5 + -6x = -10 + -1x + x Combine like terms: -1x + x = 0 5 + -6x = -10 + 0 5 + -6x = -10 Add '-5' to each side of the equation. 5 + -5 + -6x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = -10 + -5 -6x = -10 + -5 Combine like terms: -10 + -5 = -15 -6x = -15 Divide each side by '-6'. x = 2.5 Simplifying x = 2.5
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