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Simplifying 2(x + 7) + -34 = 4x + 4(x + -1) Reorder the terms: 2(7 + x) + -34 = 4x + 4(x + -1) (7 * 2 + x * 2) + -34 = 4x + 4(x + -1) (14 + 2x) + -34 = 4x + 4(x + -1) Reorder the terms: 14 + -34 + 2x = 4x + 4(x + -1) Combine like terms: 14 + -34 = -20 -20 + 2x = 4x + 4(x + -1) Reorder the terms: -20 + 2x = 4x + 4(-1 + x) -20 + 2x = 4x + (-1 * 4 + x * 4) -20 + 2x = 4x + (-4 + 4x) Reorder the terms: -20 + 2x = -4 + 4x + 4x Combine like terms: 4x + 4x = 8x -20 + 2x = -4 + 8x Solving -20 + 2x = -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 + 2x + -8x = -4 + 8x + -8x Combine like terms: 2x + -8x = -6x -20 + -6x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -6x = -4 + 0 -20 + -6x = -4 Add '20' to each side of the equation. -20 + 20 + -6x = -4 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = -4 + 20 -6x = -4 + 20 Combine like terms: -4 + 20 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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