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Simplifying 4(x + -4) + 7x = 7x + -12 Reorder the terms: 4(-4 + x) + 7x = 7x + -12 (-4 * 4 + x * 4) + 7x = 7x + -12 (-16 + 4x) + 7x = 7x + -12 Combine like terms: 4x + 7x = 11x -16 + 11x = 7x + -12 Reorder the terms: -16 + 11x = -12 + 7x Solving -16 + 11x = -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. -16 + 11x + -7x = -12 + 7x + -7x Combine like terms: 11x + -7x = 4x -16 + 4x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + 4x = -12 + 0 -16 + 4x = -12 Add '16' to each side of the equation. -16 + 16 + 4x = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -12 + 16 4x = -12 + 16 Combine like terms: -12 + 16 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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