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Simplifying 3x(2 + -1x) + 4x + -2 = x(15 + -3x) + -1.5 (2 * 3x + -1x * 3x) + 4x + -2 = x(15 + -3x) + -1.5 (6x + -3x2) + 4x + -2 = x(15 + -3x) + -1.5 Reorder the terms: -2 + 6x + 4x + -3x2 = x(15 + -3x) + -1.5 Combine like terms: 6x + 4x = 10x -2 + 10x + -3x2 = x(15 + -3x) + -1.5 -2 + 10x + -3x2 = (15 * x + -3x * x) + -1.5 -2 + 10x + -3x2 = (15x + -3x2) + -1.5 Reorder the terms: -2 + 10x + -3x2 = -1.5 + 15x + -3x2 Add '3x2' to each side of the equation. -2 + 10x + -3x2 + 3x2 = -1.5 + 15x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -2 + 10x + 0 = -1.5 + 15x + -3x2 + 3x2 -2 + 10x = -1.5 + 15x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -2 + 10x = -1.5 + 15x + 0 -2 + 10x = -1.5 + 15x Solving -2 + 10x = -1.5 + 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. -2 + 10x + -15x = -1.5 + 15x + -15x Combine like terms: 10x + -15x = -5x -2 + -5x = -1.5 + 15x + -15x Combine like terms: 15x + -15x = 0 -2 + -5x = -1.5 + 0 -2 + -5x = -1.5 Add '2' to each side of the equation. -2 + 2 + -5x = -1.5 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -1.5 + 2 -5x = -1.5 + 2 Combine like terms: -1.5 + 2 = 0.5 -5x = 0.5 Divide each side by '-5'. x = -0.1 Simplifying x = -0.1
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