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Simplifying 3x + -1(-4 + -2x) + 7x = 10x + 2(16 + -3x) 3x + (-4 * -1 + -2x * -1) + 7x = 10x + 2(16 + -3x) 3x + (4 + 2x) + 7x = 10x + 2(16 + -3x) Reorder the terms: 4 + 3x + 2x + 7x = 10x + 2(16 + -3x) Combine like terms: 3x + 2x = 5x 4 + 5x + 7x = 10x + 2(16 + -3x) Combine like terms: 5x + 7x = 12x 4 + 12x = 10x + 2(16 + -3x) 4 + 12x = 10x + (16 * 2 + -3x * 2) 4 + 12x = 10x + (32 + -6x) Reorder the terms: 4 + 12x = 32 + 10x + -6x Combine like terms: 10x + -6x = 4x 4 + 12x = 32 + 4x Solving 4 + 12x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 12x + -4x = 32 + 4x + -4x Combine like terms: 12x + -4x = 8x 4 + 8x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 8x = 32 + 0 4 + 8x = 32 Add '-4' to each side of the equation. 4 + -4 + 8x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 32 + -4 8x = 32 + -4 Combine like terms: 32 + -4 = 28 8x = 28 Divide each side by '8'. x = 3.5 Simplifying x = 3.5
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