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