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Simplifying 0.5(14x + -8) + -6(2x + -7) = 38 + -3x Reorder the terms: 0.5(-8 + 14x) + -6(2x + -7) = 38 + -3x (-8 * 0.5 + 14x * 0.5) + -6(2x + -7) = 38 + -3x (-4 + 7x) + -6(2x + -7) = 38 + -3x Reorder the terms: -4 + 7x + -6(-7 + 2x) = 38 + -3x -4 + 7x + (-7 * -6 + 2x * -6) = 38 + -3x -4 + 7x + (42 + -12x) = 38 + -3x Reorder the terms: -4 + 42 + 7x + -12x = 38 + -3x Combine like terms: -4 + 42 = 38 38 + 7x + -12x = 38 + -3x Combine like terms: 7x + -12x = -5x 38 + -5x = 38 + -3x Add '-38' to each side of the equation. 38 + -38 + -5x = 38 + -38 + -3x Combine like terms: 38 + -38 = 0 0 + -5x = 38 + -38 + -3x -5x = 38 + -38 + -3x Combine like terms: 38 + -38 = 0 -5x = 0 + -3x -5x = -3x Solving -5x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5x + 3x = -3x + 3x Combine like terms: -5x + 3x = -2x -2x = -3x + 3x Combine like terms: -3x + 3x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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