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Simplifying -1(x + 38) = -3(x + 4) Reorder the terms: -1(38 + x) = -3(x + 4) (38 * -1 + x * -1) = -3(x + 4) (-38 + -1x) = -3(x + 4) Reorder the terms: -38 + -1x = -3(4 + x) -38 + -1x = (4 * -3 + x * -3) -38 + -1x = (-12 + -3x) Solving -38 + -1x = -12 + -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. -38 + -1x + 3x = -12 + -3x + 3x Combine like terms: -1x + 3x = 2x -38 + 2x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -38 + 2x = -12 + 0 -38 + 2x = -12 Add '38' to each side of the equation. -38 + 38 + 2x = -12 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = -12 + 38 2x = -12 + 38 Combine like terms: -12 + 38 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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