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Simplifying 6 + 6(x + -4) = 9(x + -7) Reorder the terms: 6 + 6(-4 + x) = 9(x + -7) 6 + (-4 * 6 + x * 6) = 9(x + -7) 6 + (-24 + 6x) = 9(x + -7) Combine like terms: 6 + -24 = -18 -18 + 6x = 9(x + -7) Reorder the terms: -18 + 6x = 9(-7 + x) -18 + 6x = (-7 * 9 + x * 9) -18 + 6x = (-63 + 9x) Solving -18 + 6x = -63 + 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 + 6x + -9x = -63 + 9x + -9x Combine like terms: 6x + -9x = -3x -18 + -3x = -63 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + -3x = -63 + 0 -18 + -3x = -63 Add '18' to each side of the equation. -18 + 18 + -3x = -63 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -63 + 18 -3x = -63 + 18 Combine like terms: -63 + 18 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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