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Simplifying 7x + -5 + -4(x + 2) = 9x + 12 + -10 Reorder the terms: 7x + -5 + -4(2 + x) = 9x + 12 + -10 7x + -5 + (2 * -4 + x * -4) = 9x + 12 + -10 7x + -5 + (-8 + -4x) = 9x + 12 + -10 Reorder the terms: -5 + -8 + 7x + -4x = 9x + 12 + -10 Combine like terms: -5 + -8 = -13 -13 + 7x + -4x = 9x + 12 + -10 Combine like terms: 7x + -4x = 3x -13 + 3x = 9x + 12 + -10 Reorder the terms: -13 + 3x = 12 + -10 + 9x Combine like terms: 12 + -10 = 2 -13 + 3x = 2 + 9x Solving -13 + 3x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + 3x + -9x = 2 + 9x + -9x Combine like terms: 3x + -9x = -6x -13 + -6x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + -6x = 2 + 0 -13 + -6x = 2 Add '13' to each side of the equation. -13 + 13 + -6x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = 2 + 13 -6x = 2 + 13 Combine like terms: 2 + 13 = 15 -6x = 15 Divide each side by '-6'. x = -2.5 Simplifying x = -2.5
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