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Simplifying 5 + 3(5x + -6) = 9 + -4(2x + 1) Reorder the terms: 5 + 3(-6 + 5x) = 9 + -4(2x + 1) 5 + (-6 * 3 + 5x * 3) = 9 + -4(2x + 1) 5 + (-18 + 15x) = 9 + -4(2x + 1) Combine like terms: 5 + -18 = -13 -13 + 15x = 9 + -4(2x + 1) Reorder the terms: -13 + 15x = 9 + -4(1 + 2x) -13 + 15x = 9 + (1 * -4 + 2x * -4) -13 + 15x = 9 + (-4 + -8x) Combine like terms: 9 + -4 = 5 -13 + 15x = 5 + -8x Solving -13 + 15x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -13 + 15x + 8x = 5 + -8x + 8x Combine like terms: 15x + 8x = 23x -13 + 23x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -13 + 23x = 5 + 0 -13 + 23x = 5 Add '13' to each side of the equation. -13 + 13 + 23x = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 23x = 5 + 13 23x = 5 + 13 Combine like terms: 5 + 13 = 18 23x = 18 Divide each side by '23'. x = 0.7826086957 Simplifying x = 0.7826086957
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