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Simplifying 6 + -4(x + 3) = 9x + 7 + -5x Reorder the terms: 6 + -4(3 + x) = 9x + 7 + -5x 6 + (3 * -4 + x * -4) = 9x + 7 + -5x 6 + (-12 + -4x) = 9x + 7 + -5x Combine like terms: 6 + -12 = -6 -6 + -4x = 9x + 7 + -5x Reorder the terms: -6 + -4x = 7 + 9x + -5x Combine like terms: 9x + -5x = 4x -6 + -4x = 7 + 4x Solving -6 + -4x = 7 + 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. -6 + -4x + -4x = 7 + 4x + -4x Combine like terms: -4x + -4x = -8x -6 + -8x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -8x = 7 + 0 -6 + -8x = 7 Add '6' to each side of the equation. -6 + 6 + -8x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 7 + 6 -8x = 7 + 6 Combine like terms: 7 + 6 = 13 -8x = 13 Divide each side by '-8'. x = -1.625 Simplifying x = -1.625
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