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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 = 36 28x = 36 Divide each side by '28'. x = 1.285714286 Simplifying x = 1.285714286
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