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Simplifying 2x + 3(x + -4) = 9x + -7 Reorder the terms: 2x + 3(-4 + x) = 9x + -7 2x + (-4 * 3 + x * 3) = 9x + -7 2x + (-12 + 3x) = 9x + -7 Reorder the terms: -12 + 2x + 3x = 9x + -7 Combine like terms: 2x + 3x = 5x -12 + 5x = 9x + -7 Reorder the terms: -12 + 5x = -7 + 9x Solving -12 + 5x = -7 + 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. -12 + 5x + -9x = -7 + 9x + -9x Combine like terms: 5x + -9x = -4x -12 + -4x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + -4x = -7 + 0 -12 + -4x = -7 Add '12' to each side of the equation. -12 + 12 + -4x = -7 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -7 + 12 -4x = -7 + 12 Combine like terms: -7 + 12 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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