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Simplifying 6 + 4x + 7x = 3(6x + -12) + -4(x + 6) Combine like terms: 4x + 7x = 11x 6 + 11x = 3(6x + -12) + -4(x + 6) Reorder the terms: 6 + 11x = 3(-12 + 6x) + -4(x + 6) 6 + 11x = (-12 * 3 + 6x * 3) + -4(x + 6) 6 + 11x = (-36 + 18x) + -4(x + 6) Reorder the terms: 6 + 11x = -36 + 18x + -4(6 + x) 6 + 11x = -36 + 18x + (6 * -4 + x * -4) 6 + 11x = -36 + 18x + (-24 + -4x) Reorder the terms: 6 + 11x = -36 + -24 + 18x + -4x Combine like terms: -36 + -24 = -60 6 + 11x = -60 + 18x + -4x Combine like terms: 18x + -4x = 14x 6 + 11x = -60 + 14x Solving 6 + 11x = -60 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 6 + 11x + -14x = -60 + 14x + -14x Combine like terms: 11x + -14x = -3x 6 + -3x = -60 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -3x = -60 + 0 6 + -3x = -60 Add '-6' to each side of the equation. 6 + -6 + -3x = -60 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -60 + -6 -3x = -60 + -6 Combine like terms: -60 + -6 = -66 -3x = -66 Divide each side by '-3'. x = 22 Simplifying x = 22
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