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Simplifying -4(9x + 3) + 6 = 6(x + 4) + 7 Reorder the terms: -4(3 + 9x) + 6 = 6(x + 4) + 7 (3 * -4 + 9x * -4) + 6 = 6(x + 4) + 7 (-12 + -36x) + 6 = 6(x + 4) + 7 Reorder the terms: -12 + 6 + -36x = 6(x + 4) + 7 Combine like terms: -12 + 6 = -6 -6 + -36x = 6(x + 4) + 7 Reorder the terms: -6 + -36x = 6(4 + x) + 7 -6 + -36x = (4 * 6 + x * 6) + 7 -6 + -36x = (24 + 6x) + 7 Reorder the terms: -6 + -36x = 24 + 7 + 6x Combine like terms: 24 + 7 = 31 -6 + -36x = 31 + 6x Solving -6 + -36x = 31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + -36x + -6x = 31 + 6x + -6x Combine like terms: -36x + -6x = -42x -6 + -42x = 31 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -42x = 31 + 0 -6 + -42x = 31 Add '6' to each side of the equation. -6 + 6 + -42x = 31 + 6 Combine like terms: -6 + 6 = 0 0 + -42x = 31 + 6 -42x = 31 + 6 Combine like terms: 31 + 6 = 37 -42x = 37 Divide each side by '-42'. x = -0.880952381 Simplifying x = -0.880952381
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