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Simplifying -3(4 + -5x) + -4 + -10x = 3x + -6 (4 * -3 + -5x * -3) + -4 + -10x = 3x + -6 (-12 + 15x) + -4 + -10x = 3x + -6 Reorder the terms: -12 + -4 + 15x + -10x = 3x + -6 Combine like terms: -12 + -4 = -16 -16 + 15x + -10x = 3x + -6 Combine like terms: 15x + -10x = 5x -16 + 5x = 3x + -6 Reorder the terms: -16 + 5x = -6 + 3x Solving -16 + 5x = -6 + 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. -16 + 5x + -3x = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x -16 + 2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 2x = -6 + 0 -16 + 2x = -6 Add '16' to each side of the equation. -16 + 16 + 2x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -6 + 16 2x = -6 + 16 Combine like terms: -6 + 16 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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