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Simplifying 2(x + -3) + 4(x + -5) = 3x + 4(x + 6) + 2 Reorder the terms: 2(-3 + x) + 4(x + -5) = 3x + 4(x + 6) + 2 (-3 * 2 + x * 2) + 4(x + -5) = 3x + 4(x + 6) + 2 (-6 + 2x) + 4(x + -5) = 3x + 4(x + 6) + 2 Reorder the terms: -6 + 2x + 4(-5 + x) = 3x + 4(x + 6) + 2 -6 + 2x + (-5 * 4 + x * 4) = 3x + 4(x + 6) + 2 -6 + 2x + (-20 + 4x) = 3x + 4(x + 6) + 2 Reorder the terms: -6 + -20 + 2x + 4x = 3x + 4(x + 6) + 2 Combine like terms: -6 + -20 = -26 -26 + 2x + 4x = 3x + 4(x + 6) + 2 Combine like terms: 2x + 4x = 6x -26 + 6x = 3x + 4(x + 6) + 2 Reorder the terms: -26 + 6x = 3x + 4(6 + x) + 2 -26 + 6x = 3x + (6 * 4 + x * 4) + 2 -26 + 6x = 3x + (24 + 4x) + 2 Reorder the terms: -26 + 6x = 24 + 2 + 3x + 4x Combine like terms: 24 + 2 = 26 -26 + 6x = 26 + 3x + 4x Combine like terms: 3x + 4x = 7x -26 + 6x = 26 + 7x Solving -26 + 6x = 26 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -26 + 6x + -7x = 26 + 7x + -7x Combine like terms: 6x + -7x = -1x -26 + -1x = 26 + 7x + -7x Combine like terms: 7x + -7x = 0 -26 + -1x = 26 + 0 -26 + -1x = 26 Add '26' to each side of the equation. -26 + 26 + -1x = 26 + 26 Combine like terms: -26 + 26 = 0 0 + -1x = 26 + 26 -1x = 26 + 26 Combine like terms: 26 + 26 = 52 -1x = 52 Divide each side by '-1'. x = -52 Simplifying x = -52
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