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Simplifying 5(3x + -4) + 17 = 3(2x + 3) Reorder the terms: 5(-4 + 3x) + 17 = 3(2x + 3) (-4 * 5 + 3x * 5) + 17 = 3(2x + 3) (-20 + 15x) + 17 = 3(2x + 3) Reorder the terms: -20 + 17 + 15x = 3(2x + 3) Combine like terms: -20 + 17 = -3 -3 + 15x = 3(2x + 3) Reorder the terms: -3 + 15x = 3(3 + 2x) -3 + 15x = (3 * 3 + 2x * 3) -3 + 15x = (9 + 6x) Solving -3 + 15x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 15x + -6x = 9 + 6x + -6x Combine like terms: 15x + -6x = 9x -3 + 9x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 9x = 9 + 0 -3 + 9x = 9 Add '3' to each side of the equation. -3 + 3 + 9x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 9 + 3 9x = 9 + 3 Combine like terms: 9 + 3 = 12 9x = 12 Divide each side by '9'. x = 1.333333333 Simplifying x = 1.333333333
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