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Simplifying -2(x + 5) + 3x = 4(2 + -1x) + x + -6 Reorder the terms: -2(5 + x) + 3x = 4(2 + -1x) + x + -6 (5 * -2 + x * -2) + 3x = 4(2 + -1x) + x + -6 (-10 + -2x) + 3x = 4(2 + -1x) + x + -6 Combine like terms: -2x + 3x = 1x -10 + 1x = 4(2 + -1x) + x + -6 -10 + 1x = (2 * 4 + -1x * 4) + x + -6 -10 + 1x = (8 + -4x) + x + -6 Reorder the terms: -10 + 1x = 8 + -6 + -4x + x Combine like terms: 8 + -6 = 2 -10 + 1x = 2 + -4x + x Combine like terms: -4x + x = -3x -10 + 1x = 2 + -3x Solving -10 + 1x = 2 + -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. -10 + 1x + 3x = 2 + -3x + 3x Combine like terms: 1x + 3x = 4x -10 + 4x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 4x = 2 + 0 -10 + 4x = 2 Add '10' to each side of the equation. -10 + 10 + 4x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 2 + 10 4x = 2 + 10 Combine like terms: 2 + 10 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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