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Simplifying 4x + 7 + 6x = 8x + -2x + 10 + -3x Reorder the terms: 7 + 4x + 6x = 8x + -2x + 10 + -3x Combine like terms: 4x + 6x = 10x 7 + 10x = 8x + -2x + 10 + -3x Reorder the terms: 7 + 10x = 10 + 8x + -2x + -3x Combine like terms: 8x + -2x = 6x 7 + 10x = 10 + 6x + -3x Combine like terms: 6x + -3x = 3x 7 + 10x = 10 + 3x Solving 7 + 10x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 10x + -3x = 10 + 3x + -3x Combine like terms: 10x + -3x = 7x 7 + 7x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 7x = 10 + 0 7 + 7x = 10 Add '-7' to each side of the equation. 7 + -7 + 7x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 10 + -7 7x = 10 + -7 Combine like terms: 10 + -7 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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