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Simplifying -2x + -38 = 4(2x + -2) Reorder the terms: -38 + -2x = 4(2x + -2) Reorder the terms: -38 + -2x = 4(-2 + 2x) -38 + -2x = (-2 * 4 + 2x * 4) -38 + -2x = (-8 + 8x) Solving -38 + -2x = -8 + 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. -38 + -2x + -8x = -8 + 8x + -8x Combine like terms: -2x + -8x = -10x -38 + -10x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -38 + -10x = -8 + 0 -38 + -10x = -8 Add '38' to each side of the equation. -38 + 38 + -10x = -8 + 38 Combine like terms: -38 + 38 = 0 0 + -10x = -8 + 38 -10x = -8 + 38 Combine like terms: -8 + 38 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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