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Simplifying 3(x + -12) = 7(x + 4) Reorder the terms: 3(-12 + x) = 7(x + 4) (-12 * 3 + x * 3) = 7(x + 4) (-36 + 3x) = 7(x + 4) Reorder the terms: -36 + 3x = 7(4 + x) -36 + 3x = (4 * 7 + x * 7) -36 + 3x = (28 + 7x) Solving -36 + 3x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -36 + 3x + -7x = 28 + 7x + -7x Combine like terms: 3x + -7x = -4x -36 + -4x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 -36 + -4x = 28 + 0 -36 + -4x = 28 Add '36' to each side of the equation. -36 + 36 + -4x = 28 + 36 Combine like terms: -36 + 36 = 0 0 + -4x = 28 + 36 -4x = 28 + 36 Combine like terms: 28 + 36 = 64 -4x = 64 Divide each side by '-4'. x = -16 Simplifying x = -16
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