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Simplifying -3(12x + 16) = 5(13x + 9) Reorder the terms: -3(16 + 12x) = 5(13x + 9) (16 * -3 + 12x * -3) = 5(13x + 9) (-48 + -36x) = 5(13x + 9) Reorder the terms: -48 + -36x = 5(9 + 13x) -48 + -36x = (9 * 5 + 13x * 5) -48 + -36x = (45 + 65x) Solving -48 + -36x = 45 + 65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65x' to each side of the equation. -48 + -36x + -65x = 45 + 65x + -65x Combine like terms: -36x + -65x = -101x -48 + -101x = 45 + 65x + -65x Combine like terms: 65x + -65x = 0 -48 + -101x = 45 + 0 -48 + -101x = 45 Add '48' to each side of the equation. -48 + 48 + -101x = 45 + 48 Combine like terms: -48 + 48 = 0 0 + -101x = 45 + 48 -101x = 45 + 48 Combine like terms: 45 + 48 = 93 -101x = 93 Divide each side by '-101'. x = -0.9207920792 Simplifying x = -0.9207920792
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