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Simplifying -38 = -4(4 + 2x) + 7(6x + -8) -38 = (4 * -4 + 2x * -4) + 7(6x + -8) -38 = (-16 + -8x) + 7(6x + -8) Reorder the terms: -38 = -16 + -8x + 7(-8 + 6x) -38 = -16 + -8x + (-8 * 7 + 6x * 7) -38 = -16 + -8x + (-56 + 42x) Reorder the terms: -38 = -16 + -56 + -8x + 42x Combine like terms: -16 + -56 = -72 -38 = -72 + -8x + 42x Combine like terms: -8x + 42x = 34x -38 = -72 + 34x Solving -38 = -72 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -38 + -34x = -72 + 34x + -34x Combine like terms: 34x + -34x = 0 -38 + -34x = -72 + 0 -38 + -34x = -72 Add '38' to each side of the equation. -38 + 38 + -34x = -72 + 38 Combine like terms: -38 + 38 = 0 0 + -34x = -72 + 38 -34x = -72 + 38 Combine like terms: -72 + 38 = -34 -34x = -34 Divide each side by '-34'. x = 1 Simplifying x = 1
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