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Simplifying -6(4x + 1) + 7(3x + 1) = 90 Reorder the terms: -6(1 + 4x) + 7(3x + 1) = 90 (1 * -6 + 4x * -6) + 7(3x + 1) = 90 (-6 + -24x) + 7(3x + 1) = 90 Reorder the terms: -6 + -24x + 7(1 + 3x) = 90 -6 + -24x + (1 * 7 + 3x * 7) = 90 -6 + -24x + (7 + 21x) = 90 Reorder the terms: -6 + 7 + -24x + 21x = 90 Combine like terms: -6 + 7 = 1 1 + -24x + 21x = 90 Combine like terms: -24x + 21x = -3x 1 + -3x = 90 Solving 1 + -3x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 90 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 90 + -1 -3x = 90 + -1 Combine like terms: 90 + -1 = 89 -3x = 89 Divide each side by '-3'. x = -29.66666667 Simplifying x = -29.66666667
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