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Simplifying 3(x + 2) + -5 = 2x + -1(4x + -8) Reorder the terms: 3(2 + x) + -5 = 2x + -1(4x + -8) (2 * 3 + x * 3) + -5 = 2x + -1(4x + -8) (6 + 3x) + -5 = 2x + -1(4x + -8) Reorder the terms: 6 + -5 + 3x = 2x + -1(4x + -8) Combine like terms: 6 + -5 = 1 1 + 3x = 2x + -1(4x + -8) Reorder the terms: 1 + 3x = 2x + -1(-8 + 4x) 1 + 3x = 2x + (-8 * -1 + 4x * -1) 1 + 3x = 2x + (8 + -4x) Reorder the terms: 1 + 3x = 8 + 2x + -4x Combine like terms: 2x + -4x = -2x 1 + 3x = 8 + -2x Solving 1 + 3x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 3x + 2x = 8 + -2x + 2x Combine like terms: 3x + 2x = 5x 1 + 5x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 5x = 8 + 0 1 + 5x = 8 Add '-1' to each side of the equation. 1 + -1 + 5x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 8 + -1 5x = 8 + -1 Combine like terms: 8 + -1 = 7 5x = 7 Divide each side by '5'. x = 1.4 Simplifying x = 1.4
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