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Simplifying 5(x + -12) = -1(4x + -3) Reorder the terms: 5(-12 + x) = -1(4x + -3) (-12 * 5 + x * 5) = -1(4x + -3) (-60 + 5x) = -1(4x + -3) Reorder the terms: -60 + 5x = -1(-3 + 4x) -60 + 5x = (-3 * -1 + 4x * -1) -60 + 5x = (3 + -4x) Solving -60 + 5x = 3 + -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 + 5x + 4x = 3 + -4x + 4x Combine like terms: 5x + 4x = 9x -60 + 9x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -60 + 9x = 3 + 0 -60 + 9x = 3 Add '60' to each side of the equation. -60 + 60 + 9x = 3 + 60 Combine like terms: -60 + 60 = 0 0 + 9x = 3 + 60 9x = 3 + 60 Combine like terms: 3 + 60 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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