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Simplifying 10 + 2x + -2x(3) + -7x(4) + -2(2 + x) + 3 + 7x + -2 + -5x = 17 Reorder the terms for easier multiplication: 10 + 2x + -2 * 3x + -7x(4) + -2(2 + x) + 3 + 7x + -2 + -5x = 17 Multiply -2 * 3 10 + 2x + -6x + -7x(4) + -2(2 + x) + 3 + 7x + -2 + -5x = 17 Reorder the terms for easier multiplication: 10 + 2x + -6x + -7 * 4x + -2(2 + x) + 3 + 7x + -2 + -5x = 17 Multiply -7 * 4 10 + 2x + -6x + -28x + -2(2 + x) + 3 + 7x + -2 + -5x = 17 10 + 2x + -6x + -28x + (2 * -2 + x * -2) + 3 + 7x + -2 + -5x = 17 10 + 2x + -6x + -28x + (-4 + -2x) + 3 + 7x + -2 + -5x = 17 Reorder the terms: 10 + -4 + 3 + -2 + 2x + -6x + -28x + -2x + 7x + -5x = 17 Combine like terms: 10 + -4 = 6 6 + 3 + -2 + 2x + -6x + -28x + -2x + 7x + -5x = 17 Combine like terms: 6 + 3 = 9 9 + -2 + 2x + -6x + -28x + -2x + 7x + -5x = 17 Combine like terms: 9 + -2 = 7 7 + 2x + -6x + -28x + -2x + 7x + -5x = 17 Combine like terms: 2x + -6x = -4x 7 + -4x + -28x + -2x + 7x + -5x = 17 Combine like terms: -4x + -28x = -32x 7 + -32x + -2x + 7x + -5x = 17 Combine like terms: -32x + -2x = -34x 7 + -34x + 7x + -5x = 17 Combine like terms: -34x + 7x = -27x 7 + -27x + -5x = 17 Combine like terms: -27x + -5x = -32x 7 + -32x = 17 Solving 7 + -32x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -32x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + -32x = 17 + -7 -32x = 17 + -7 Combine like terms: 17 + -7 = 10 -32x = 10 Divide each side by '-32'. x = -0.3125 Simplifying x = -0.3125
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