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Simplifying 6(x + -3) + x = 7(7x + -7) + 13 Reorder the terms: 6(-3 + x) + x = 7(7x + -7) + 13 (-3 * 6 + x * 6) + x = 7(7x + -7) + 13 (-18 + 6x) + x = 7(7x + -7) + 13 Combine like terms: 6x + x = 7x -18 + 7x = 7(7x + -7) + 13 Reorder the terms: -18 + 7x = 7(-7 + 7x) + 13 -18 + 7x = (-7 * 7 + 7x * 7) + 13 -18 + 7x = (-49 + 49x) + 13 Reorder the terms: -18 + 7x = -49 + 13 + 49x Combine like terms: -49 + 13 = -36 -18 + 7x = -36 + 49x Solving -18 + 7x = -36 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. -18 + 7x + -49x = -36 + 49x + -49x Combine like terms: 7x + -49x = -42x -18 + -42x = -36 + 49x + -49x Combine like terms: 49x + -49x = 0 -18 + -42x = -36 + 0 -18 + -42x = -36 Add '18' to each side of the equation. -18 + 18 + -42x = -36 + 18 Combine like terms: -18 + 18 = 0 0 + -42x = -36 + 18 -42x = -36 + 18 Combine like terms: -36 + 18 = -18 -42x = -18 Divide each side by '-42'. x = 0.4285714286 Simplifying x = 0.4285714286
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