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Simplifying 12(3x + -5) + 4x = 28x + -4(6x + 79) Reorder the terms: 12(-5 + 3x) + 4x = 28x + -4(6x + 79) (-5 * 12 + 3x * 12) + 4x = 28x + -4(6x + 79) (-60 + 36x) + 4x = 28x + -4(6x + 79) Combine like terms: 36x + 4x = 40x -60 + 40x = 28x + -4(6x + 79) Reorder the terms: -60 + 40x = 28x + -4(79 + 6x) -60 + 40x = 28x + (79 * -4 + 6x * -4) -60 + 40x = 28x + (-316 + -24x) Reorder the terms: -60 + 40x = -316 + 28x + -24x Combine like terms: 28x + -24x = 4x -60 + 40x = -316 + 4x Solving -60 + 40x = -316 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -60 + 40x + -4x = -316 + 4x + -4x Combine like terms: 40x + -4x = 36x -60 + 36x = -316 + 4x + -4x Combine like terms: 4x + -4x = 0 -60 + 36x = -316 + 0 -60 + 36x = -316 Add '60' to each side of the equation. -60 + 60 + 36x = -316 + 60 Combine like terms: -60 + 60 = 0 0 + 36x = -316 + 60 36x = -316 + 60 Combine like terms: -316 + 60 = -256 36x = -256 Divide each side by '36'. x = -7.111111111 Simplifying x = -7.111111111
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