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Simplifying 4[x + -4] + 7 = 7x + 12 Reorder the terms: 4[-4 + x] + 7 = 7x + 12 [-4 * 4 + x * 4] + 7 = 7x + 12 [-16 + 4x] + 7 = 7x + 12 Reorder the terms: -16 + 7 + 4x = 7x + 12 Combine like terms: -16 + 7 = -9 -9 + 4x = 7x + 12 Reorder the terms: -9 + 4x = 12 + 7x Solving -9 + 4x = 12 + 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. -9 + 4x + -7x = 12 + 7x + -7x Combine like terms: 4x + -7x = -3x -9 + -3x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -3x = 12 + 0 -9 + -3x = 12 Add '9' to each side of the equation. -9 + 9 + -3x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = 12 + 9 -3x = 12 + 9 Combine like terms: 12 + 9 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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