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Simplifying 2x + 4(x + -5) = x + 7(x + -1) + 3 Reorder the terms: 2x + 4(-5 + x) = x + 7(x + -1) + 3 2x + (-5 * 4 + x * 4) = x + 7(x + -1) + 3 2x + (-20 + 4x) = x + 7(x + -1) + 3 Reorder the terms: -20 + 2x + 4x = x + 7(x + -1) + 3 Combine like terms: 2x + 4x = 6x -20 + 6x = x + 7(x + -1) + 3 Reorder the terms: -20 + 6x = x + 7(-1 + x) + 3 -20 + 6x = x + (-1 * 7 + x * 7) + 3 -20 + 6x = x + (-7 + 7x) + 3 Reorder the terms: -20 + 6x = -7 + 3 + x + 7x Combine like terms: -7 + 3 = -4 -20 + 6x = -4 + x + 7x Combine like terms: x + 7x = 8x -20 + 6x = -4 + 8x Solving -20 + 6x = -4 + 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 + 6x + -8x = -4 + 8x + -8x Combine like terms: 6x + -8x = -2x -20 + -2x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -2x = -4 + 0 -20 + -2x = -4 Add '20' to each side of the equation. -20 + 20 + -2x = -4 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -4 + 20 -2x = -4 + 20 Combine like terms: -4 + 20 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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