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Simplifying 4(x + -5) = 2(x + 3) + 6x Reorder the terms: 4(-5 + x) = 2(x + 3) + 6x (-5 * 4 + x * 4) = 2(x + 3) + 6x (-20 + 4x) = 2(x + 3) + 6x Reorder the terms: -20 + 4x = 2(3 + x) + 6x -20 + 4x = (3 * 2 + x * 2) + 6x -20 + 4x = (6 + 2x) + 6x Combine like terms: 2x + 6x = 8x -20 + 4x = 6 + 8x Solving -20 + 4x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 4x + -8x = 6 + 8x + -8x Combine like terms: 4x + -8x = -4x -20 + -4x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -4x = 6 + 0 -20 + -4x = 6 Add '20' to each side of the equation. -20 + 20 + -4x = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = 6 + 20 -4x = 6 + 20 Combine like terms: 6 + 20 = 26 -4x = 26 Divide each side by '-4'. x = -6.5 Simplifying x = -6.5
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