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Simplifying 2(x + -4) + -7 = 9 + -4x Reorder the terms: 2(-4 + x) + -7 = 9 + -4x (-4 * 2 + x * 2) + -7 = 9 + -4x (-8 + 2x) + -7 = 9 + -4x Reorder the terms: -8 + -7 + 2x = 9 + -4x Combine like terms: -8 + -7 = -15 -15 + 2x = 9 + -4x Solving -15 + 2x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + 2x + 4x = 9 + -4x + 4x Combine like terms: 2x + 4x = 6x -15 + 6x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 6x = 9 + 0 -15 + 6x = 9 Add '15' to each side of the equation. -15 + 15 + 6x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 9 + 15 6x = 9 + 15 Combine like terms: 9 + 15 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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