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Simplifying 5 + -2(x + 4) = 2x + -1(-12) Reorder the terms: 5 + -2(4 + x) = 2x + -1(-12) 5 + (4 * -2 + x * -2) = 2x + -1(-12) 5 + (-8 + -2x) = 2x + -1(-12) Combine like terms: 5 + -8 = -3 -3 + -2x = 2x + -1(-12) Multiply -1 * -12 -3 + -2x = 2x + 12 Reorder the terms: -3 + -2x = 12 + 2x Solving -3 + -2x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + -2x + -2x = 12 + 2x + -2x Combine like terms: -2x + -2x = -4x -3 + -4x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -4x = 12 + 0 -3 + -4x = 12 Add '3' to each side of the equation. -3 + 3 + -4x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 12 + 3 -4x = 12 + 3 Combine like terms: 12 + 3 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75
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