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Simplifying 7x + 2(x + -6) = 4(x + 2) + -3 Reorder the terms: 7x + 2(-6 + x) = 4(x + 2) + -3 7x + (-6 * 2 + x * 2) = 4(x + 2) + -3 7x + (-12 + 2x) = 4(x + 2) + -3 Reorder the terms: -12 + 7x + 2x = 4(x + 2) + -3 Combine like terms: 7x + 2x = 9x -12 + 9x = 4(x + 2) + -3 Reorder the terms: -12 + 9x = 4(2 + x) + -3 -12 + 9x = (2 * 4 + x * 4) + -3 -12 + 9x = (8 + 4x) + -3 Reorder the terms: -12 + 9x = 8 + -3 + 4x Combine like terms: 8 + -3 = 5 -12 + 9x = 5 + 4x Solving -12 + 9x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 9x + -4x = 5 + 4x + -4x Combine like terms: 9x + -4x = 5x -12 + 5x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 5x = 5 + 0 -12 + 5x = 5 Add '12' to each side of the equation. -12 + 12 + 5x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 5 + 12 5x = 5 + 12 Combine like terms: 5 + 12 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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