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Simplifying 4(x + -2) + 5(x + 4) = -7 Reorder the terms: 4(-2 + x) + 5(x + 4) = -7 (-2 * 4 + x * 4) + 5(x + 4) = -7 (-8 + 4x) + 5(x + 4) = -7 Reorder the terms: -8 + 4x + 5(4 + x) = -7 -8 + 4x + (4 * 5 + x * 5) = -7 -8 + 4x + (20 + 5x) = -7 Reorder the terms: -8 + 20 + 4x + 5x = -7 Combine like terms: -8 + 20 = 12 12 + 4x + 5x = -7 Combine like terms: 4x + 5x = 9x 12 + 9x = -7 Solving 12 + 9x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 9x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -7 + -12 9x = -7 + -12 Combine like terms: -7 + -12 = -19 9x = -19 Divide each side by '9'. x = -2.111111111 Simplifying x = -2.111111111
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