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Simplifying 5(2x + 1) + -4x = 3(x + -2) + 8 Reorder the terms: 5(1 + 2x) + -4x = 3(x + -2) + 8 (1 * 5 + 2x * 5) + -4x = 3(x + -2) + 8 (5 + 10x) + -4x = 3(x + -2) + 8 Combine like terms: 10x + -4x = 6x 5 + 6x = 3(x + -2) + 8 Reorder the terms: 5 + 6x = 3(-2 + x) + 8 5 + 6x = (-2 * 3 + x * 3) + 8 5 + 6x = (-6 + 3x) + 8 Reorder the terms: 5 + 6x = -6 + 8 + 3x Combine like terms: -6 + 8 = 2 5 + 6x = 2 + 3x Solving 5 + 6x = 2 + 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. 5 + 6x + -3x = 2 + 3x + -3x Combine like terms: 6x + -3x = 3x 5 + 3x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 3x = 2 + 0 5 + 3x = 2 Add '-5' to each side of the equation. 5 + -5 + 3x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 2 + -5 3x = 2 + -5 Combine like terms: 2 + -5 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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