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Simplifying -6(x + 4) + 4x + 5 = 7x + 12 Reorder the terms: -6(4 + x) + 4x + 5 = 7x + 12 (4 * -6 + x * -6) + 4x + 5 = 7x + 12 (-24 + -6x) + 4x + 5 = 7x + 12 Reorder the terms: -24 + 5 + -6x + 4x = 7x + 12 Combine like terms: -24 + 5 = -19 -19 + -6x + 4x = 7x + 12 Combine like terms: -6x + 4x = -2x -19 + -2x = 7x + 12 Reorder the terms: -19 + -2x = 12 + 7x Solving -19 + -2x = 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. -19 + -2x + -7x = 12 + 7x + -7x Combine like terms: -2x + -7x = -9x -19 + -9x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -19 + -9x = 12 + 0 -19 + -9x = 12 Add '19' to each side of the equation. -19 + 19 + -9x = 12 + 19 Combine like terms: -19 + 19 = 0 0 + -9x = 12 + 19 -9x = 12 + 19 Combine like terms: 12 + 19 = 31 -9x = 31 Divide each side by '-9'. x = -3.444444444 Simplifying x = -3.444444444
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