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Simplifying -4(6x + 3 + 7) + -3(4 + 6x + 2) = 0 Reorder the terms: -4(3 + 7 + 6x) + -3(4 + 6x + 2) = 0 Combine like terms: 3 + 7 = 10 -4(10 + 6x) + -3(4 + 6x + 2) = 0 (10 * -4 + 6x * -4) + -3(4 + 6x + 2) = 0 (-40 + -24x) + -3(4 + 6x + 2) = 0 Reorder the terms: -40 + -24x + -3(4 + 2 + 6x) = 0 Combine like terms: 4 + 2 = 6 -40 + -24x + -3(6 + 6x) = 0 -40 + -24x + (6 * -3 + 6x * -3) = 0 -40 + -24x + (-18 + -18x) = 0 Reorder the terms: -40 + -18 + -24x + -18x = 0 Combine like terms: -40 + -18 = -58 -58 + -24x + -18x = 0 Combine like terms: -24x + -18x = -42x -58 + -42x = 0 Solving -58 + -42x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + -42x = 0 + 58 Combine like terms: -58 + 58 = 0 0 + -42x = 0 + 58 -42x = 0 + 58 Combine like terms: 0 + 58 = 58 -42x = 58 Divide each side by '-42'. x = -1.380952381 Simplifying x = -1.380952381
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