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Simplifying 2 + 4(x + -2) = 7x + -9 Reorder the terms: 2 + 4(-2 + x) = 7x + -9 2 + (-2 * 4 + x * 4) = 7x + -9 2 + (-8 + 4x) = 7x + -9 Combine like terms: 2 + -8 = -6 -6 + 4x = 7x + -9 Reorder the terms: -6 + 4x = -9 + 7x Solving -6 + 4x = -9 + 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. -6 + 4x + -7x = -9 + 7x + -7x Combine like terms: 4x + -7x = -3x -6 + -3x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -3x = -9 + 0 -6 + -3x = -9 Add '6' to each side of the equation. -6 + 6 + -3x = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -9 + 6 -3x = -9 + 6 Combine like terms: -9 + 6 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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