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Simplifying 2(x + -6) + 3x = 2(x + 2) + -1x Reorder the terms: 2(-6 + x) + 3x = 2(x + 2) + -1x (-6 * 2 + x * 2) + 3x = 2(x + 2) + -1x (-12 + 2x) + 3x = 2(x + 2) + -1x Combine like terms: 2x + 3x = 5x -12 + 5x = 2(x + 2) + -1x Reorder the terms: -12 + 5x = 2(2 + x) + -1x -12 + 5x = (2 * 2 + x * 2) + -1x -12 + 5x = (4 + 2x) + -1x Combine like terms: 2x + -1x = 1x -12 + 5x = 4 + 1x Solving -12 + 5x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 5x + -1x = 4 + 1x + -1x Combine like terms: 5x + -1x = 4x -12 + 4x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + 4x = 4 + 0 -12 + 4x = 4 Add '12' to each side of the equation. -12 + 12 + 4x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 4 + 12 4x = 4 + 12 Combine like terms: 4 + 12 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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