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Simplifying -4(x + 4) = 3(x + 4) + 7 Reorder the terms: -4(4 + x) = 3(x + 4) + 7 (4 * -4 + x * -4) = 3(x + 4) + 7 (-16 + -4x) = 3(x + 4) + 7 Reorder the terms: -16 + -4x = 3(4 + x) + 7 -16 + -4x = (4 * 3 + x * 3) + 7 -16 + -4x = (12 + 3x) + 7 Reorder the terms: -16 + -4x = 12 + 7 + 3x Combine like terms: 12 + 7 = 19 -16 + -4x = 19 + 3x Solving -16 + -4x = 19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -16 + -4x + -3x = 19 + 3x + -3x Combine like terms: -4x + -3x = -7x -16 + -7x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + -7x = 19 + 0 -16 + -7x = 19 Add '16' to each side of the equation. -16 + 16 + -7x = 19 + 16 Combine like terms: -16 + 16 = 0 0 + -7x = 19 + 16 -7x = 19 + 16 Combine like terms: 19 + 16 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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