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Simplifying 6 + 4(x + -6) = 7 + -9(x + -1) Reorder the terms: 6 + 4(-6 + x) = 7 + -9(x + -1) 6 + (-6 * 4 + x * 4) = 7 + -9(x + -1) 6 + (-24 + 4x) = 7 + -9(x + -1) Combine like terms: 6 + -24 = -18 -18 + 4x = 7 + -9(x + -1) Reorder the terms: -18 + 4x = 7 + -9(-1 + x) -18 + 4x = 7 + (-1 * -9 + x * -9) -18 + 4x = 7 + (9 + -9x) Combine like terms: 7 + 9 = 16 -18 + 4x = 16 + -9x Solving -18 + 4x = 16 + -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. -18 + 4x + 9x = 16 + -9x + 9x Combine like terms: 4x + 9x = 13x -18 + 13x = 16 + -9x + 9x Combine like terms: -9x + 9x = 0 -18 + 13x = 16 + 0 -18 + 13x = 16 Add '18' to each side of the equation. -18 + 18 + 13x = 16 + 18 Combine like terms: -18 + 18 = 0 0 + 13x = 16 + 18 13x = 16 + 18 Combine like terms: 16 + 18 = 34 13x = 34 Divide each side by '13'. x = 2.615384615 Simplifying x = 2.615384615
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