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Simplifying -33 + 4x + -5 = 4(-33 + 4x) + -38 Reorder the terms: -33 + -5 + 4x = 4(-33 + 4x) + -38 Combine like terms: -33 + -5 = -38 -38 + 4x = 4(-33 + 4x) + -38 -38 + 4x = (-33 * 4 + 4x * 4) + -38 -38 + 4x = (-132 + 16x) + -38 Reorder the terms: -38 + 4x = -132 + -38 + 16x Combine like terms: -132 + -38 = -170 -38 + 4x = -170 + 16x Solving -38 + 4x = -170 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -38 + 4x + -16x = -170 + 16x + -16x Combine like terms: 4x + -16x = -12x -38 + -12x = -170 + 16x + -16x Combine like terms: 16x + -16x = 0 -38 + -12x = -170 + 0 -38 + -12x = -170 Add '38' to each side of the equation. -38 + 38 + -12x = -170 + 38 Combine like terms: -38 + 38 = 0 0 + -12x = -170 + 38 -12x = -170 + 38 Combine like terms: -170 + 38 = -132 -12x = -132 Divide each side by '-12'. x = 11 Simplifying x = 11
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