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Simplifying 0 = 10(x) * 4 + -4(x) * 3 + -8(x) * 3 + 3(x) + -6 Reorder the terms for easier multiplication: 0 = 10 * 4x + -4(x) * 3 + -8(x) * 3 + 3(x) + -6 Multiply 10 * 4 0 = 40x + -4(x) * 3 + -8(x) * 3 + 3(x) + -6 Reorder the terms for easier multiplication: 0 = 40x + -4 * 3x + -8(x) * 3 + 3(x) + -6 Multiply -4 * 3 0 = 40x + -12x + -8(x) * 3 + 3(x) + -6 Reorder the terms for easier multiplication: 0 = 40x + -12x + -8 * 3x + 3(x) + -6 Multiply -8 * 3 0 = 40x + -12x + -24x + 3(x) + -6 Reorder the terms: 0 = -6 + 40x + -12x + -24x + 3x Combine like terms: 40x + -12x = 28x 0 = -6 + 28x + -24x + 3x Combine like terms: 28x + -24x = 4x 0 = -6 + 4x + 3x Combine like terms: 4x + 3x = 7x 0 = -6 + 7x Solving 0 = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 0 + -7x = -6 + 7x + -7x Remove the zero: -7x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -7x = -6 + 0 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571
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