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Simplifying 3(x + -12) + -5 = 16x + -93 Reorder the terms: 3(-12 + x) + -5 = 16x + -93 (-12 * 3 + x * 3) + -5 = 16x + -93 (-36 + 3x) + -5 = 16x + -93 Reorder the terms: -36 + -5 + 3x = 16x + -93 Combine like terms: -36 + -5 = -41 -41 + 3x = 16x + -93 Reorder the terms: -41 + 3x = -93 + 16x Solving -41 + 3x = -93 + 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. -41 + 3x + -16x = -93 + 16x + -16x Combine like terms: 3x + -16x = -13x -41 + -13x = -93 + 16x + -16x Combine like terms: 16x + -16x = 0 -41 + -13x = -93 + 0 -41 + -13x = -93 Add '41' to each side of the equation. -41 + 41 + -13x = -93 + 41 Combine like terms: -41 + 41 = 0 0 + -13x = -93 + 41 -13x = -93 + 41 Combine like terms: -93 + 41 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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