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Simplifying 5(x + -4) + 2x = 6x + -2(3 + -4x) Reorder the terms: 5(-4 + x) + 2x = 6x + -2(3 + -4x) (-4 * 5 + x * 5) + 2x = 6x + -2(3 + -4x) (-20 + 5x) + 2x = 6x + -2(3 + -4x) Combine like terms: 5x + 2x = 7x -20 + 7x = 6x + -2(3 + -4x) -20 + 7x = 6x + (3 * -2 + -4x * -2) -20 + 7x = 6x + (-6 + 8x) Reorder the terms: -20 + 7x = -6 + 6x + 8x Combine like terms: 6x + 8x = 14x -20 + 7x = -6 + 14x Solving -20 + 7x = -6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -20 + 7x + -14x = -6 + 14x + -14x Combine like terms: 7x + -14x = -7x -20 + -7x = -6 + 14x + -14x Combine like terms: 14x + -14x = 0 -20 + -7x = -6 + 0 -20 + -7x = -6 Add '20' to each side of the equation. -20 + 20 + -7x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + -7x = -6 + 20 -7x = -6 + 20 Combine like terms: -6 + 20 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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