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Simplifying 12(2x + -5) = 4(-1x) + -3(5) Reorder the terms: 12(-5 + 2x) = 4(-1x) + -3(5) (-5 * 12 + 2x * 12) = 4(-1x) + -3(5) (-60 + 24x) = 4(-1x) + -3(5) Remove parenthesis around (-1x) -60 + 24x = 4 * -1x + -3(5) Multiply 4 * -1 -60 + 24x = -4x + -3(5) Multiply -3 * 5 -60 + 24x = -4x + -15 Reorder the terms: -60 + 24x = -15 + -4x Solving -60 + 24x = -15 + -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 + 24x + 4x = -15 + -4x + 4x Combine like terms: 24x + 4x = 28x -60 + 28x = -15 + -4x + 4x Combine like terms: -4x + 4x = 0 -60 + 28x = -15 + 0 -60 + 28x = -15 Add '60' to each side of the equation. -60 + 60 + 28x = -15 + 60 Combine like terms: -60 + 60 = 0 0 + 28x = -15 + 60 28x = -15 + 60 Combine like terms: -15 + 60 = 45 28x = 45 Divide each side by '28'. x = 1.607142857 Simplifying x = 1.607142857
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