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Simplifying 2(x + -6) + 3(x + 1) = 4x + 3 Reorder the terms: 2(-6 + x) + 3(x + 1) = 4x + 3 (-6 * 2 + x * 2) + 3(x + 1) = 4x + 3 (-12 + 2x) + 3(x + 1) = 4x + 3 Reorder the terms: -12 + 2x + 3(1 + x) = 4x + 3 -12 + 2x + (1 * 3 + x * 3) = 4x + 3 -12 + 2x + (3 + 3x) = 4x + 3 Reorder the terms: -12 + 3 + 2x + 3x = 4x + 3 Combine like terms: -12 + 3 = -9 -9 + 2x + 3x = 4x + 3 Combine like terms: 2x + 3x = 5x -9 + 5x = 4x + 3 Reorder the terms: -9 + 5x = 3 + 4x Solving -9 + 5x = 3 + 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. -9 + 5x + -4x = 3 + 4x + -4x Combine like terms: 5x + -4x = 1x -9 + 1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 1x = 3 + 0 -9 + 1x = 3 Add '9' to each side of the equation. -9 + 9 + 1x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 3 + 9 1x = 3 + 9 Combine like terms: 3 + 9 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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