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Simplifying 4(x + -1) + 5x = 7x + -12 Reorder the terms: 4(-1 + x) + 5x = 7x + -12 (-1 * 4 + x * 4) + 5x = 7x + -12 (-4 + 4x) + 5x = 7x + -12 Combine like terms: 4x + 5x = 9x -4 + 9x = 7x + -12 Reorder the terms: -4 + 9x = -12 + 7x Solving -4 + 9x = -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. -4 + 9x + -7x = -12 + 7x + -7x Combine like terms: 9x + -7x = 2x -4 + 2x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + 2x = -12 + 0 -4 + 2x = -12 Add '4' to each side of the equation. -4 + 4 + 2x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -12 + 4 2x = -12 + 4 Combine like terms: -12 + 4 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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