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Simplifying -4(x + 3) + 7x = 9x + -4 Reorder the terms: -4(3 + x) + 7x = 9x + -4 (3 * -4 + x * -4) + 7x = 9x + -4 (-12 + -4x) + 7x = 9x + -4 Combine like terms: -4x + 7x = 3x -12 + 3x = 9x + -4 Reorder the terms: -12 + 3x = -4 + 9x Solving -12 + 3x = -4 + 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 + 3x + -9x = -4 + 9x + -9x Combine like terms: 3x + -9x = -6x -12 + -6x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + -6x = -4 + 0 -12 + -6x = -4 Add '12' to each side of the equation. -12 + 12 + -6x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -4 + 12 -6x = -4 + 12 Combine like terms: -4 + 12 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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