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Simplifying 5(3x + 4) + -6(3x + -7) = 23x Reorder the terms: 5(4 + 3x) + -6(3x + -7) = 23x (4 * 5 + 3x * 5) + -6(3x + -7) = 23x (20 + 15x) + -6(3x + -7) = 23x Reorder the terms: 20 + 15x + -6(-7 + 3x) = 23x 20 + 15x + (-7 * -6 + 3x * -6) = 23x 20 + 15x + (42 + -18x) = 23x Reorder the terms: 20 + 42 + 15x + -18x = 23x Combine like terms: 20 + 42 = 62 62 + 15x + -18x = 23x Combine like terms: 15x + -18x = -3x 62 + -3x = 23x Solving 62 + -3x = 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 62 + -3x + -23x = 23x + -23x Combine like terms: -3x + -23x = -26x 62 + -26x = 23x + -23x Combine like terms: 23x + -23x = 0 62 + -26x = 0 Add '-62' to each side of the equation. 62 + -62 + -26x = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -26x = 0 + -62 -26x = 0 + -62 Combine like terms: 0 + -62 = -62 -26x = -62 Divide each side by '-26'. x = 2.384615385 Simplifying x = 2.384615385
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