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Simplifying 3x + -5 + 7x = 2(x + -3) + 4 Reorder the terms: -5 + 3x + 7x = 2(x + -3) + 4 Combine like terms: 3x + 7x = 10x -5 + 10x = 2(x + -3) + 4 Reorder the terms: -5 + 10x = 2(-3 + x) + 4 -5 + 10x = (-3 * 2 + x * 2) + 4 -5 + 10x = (-6 + 2x) + 4 Reorder the terms: -5 + 10x = -6 + 4 + 2x Combine like terms: -6 + 4 = -2 -5 + 10x = -2 + 2x Solving -5 + 10x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 10x + -2x = -2 + 2x + -2x Combine like terms: 10x + -2x = 8x -5 + 8x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 8x = -2 + 0 -5 + 8x = -2 Add '5' to each side of the equation. -5 + 5 + 8x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = -2 + 5 8x = -2 + 5 Combine like terms: -2 + 5 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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