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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 = -16x 4 + 12x = 32 + -16x Solving 4 + 12x = 32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 4 + 12x + 16x = 32 + -16x + 16x Combine like terms: 12x + 16x = 28x 4 + 28x = 32 + -16x + 16x Combine like terms: -16x + 16x = 0 4 + 28x = 32 + 0 4 + 28x = 32 Add '-4' to each side of the equation. 4 + -4 + 28x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 28x = 32 + -4 28x = 32 + -4 Combine like terms: 32 + -4 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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