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Simplifying 3(2x + -1) + 4x = 5(3x + -2) + 4 Reorder the terms: 3(-1 + 2x) + 4x = 5(3x + -2) + 4 (-1 * 3 + 2x * 3) + 4x = 5(3x + -2) + 4 (-3 + 6x) + 4x = 5(3x + -2) + 4 Combine like terms: 6x + 4x = 10x -3 + 10x = 5(3x + -2) + 4 Reorder the terms: -3 + 10x = 5(-2 + 3x) + 4 -3 + 10x = (-2 * 5 + 3x * 5) + 4 -3 + 10x = (-10 + 15x) + 4 Reorder the terms: -3 + 10x = -10 + 4 + 15x Combine like terms: -10 + 4 = -6 -3 + 10x = -6 + 15x Solving -3 + 10x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -3 + 10x + -15x = -6 + 15x + -15x Combine like terms: 10x + -15x = -5x -3 + -5x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 -3 + -5x = -6 + 0 -3 + -5x = -6 Add '3' to each side of the equation. -3 + 3 + -5x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -6 + 3 -5x = -6 + 3 Combine like terms: -6 + 3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6
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