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Simplifying 3(5x + -2) = 5x + -2(4x + -6) Reorder the terms: 3(-2 + 5x) = 5x + -2(4x + -6) (-2 * 3 + 5x * 3) = 5x + -2(4x + -6) (-6 + 15x) = 5x + -2(4x + -6) Reorder the terms: -6 + 15x = 5x + -2(-6 + 4x) -6 + 15x = 5x + (-6 * -2 + 4x * -2) -6 + 15x = 5x + (12 + -8x) Reorder the terms: -6 + 15x = 12 + 5x + -8x Combine like terms: 5x + -8x = -3x -6 + 15x = 12 + -3x Solving -6 + 15x = 12 + -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. -6 + 15x + 3x = 12 + -3x + 3x Combine like terms: 15x + 3x = 18x -6 + 18x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 18x = 12 + 0 -6 + 18x = 12 Add '6' to each side of the equation. -6 + 6 + 18x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 12 + 6 18x = 12 + 6 Combine like terms: 12 + 6 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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