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Simplifying 3(2x + -5) + 9 = 4(x + 7) Reorder the terms: 3(-5 + 2x) + 9 = 4(x + 7) (-5 * 3 + 2x * 3) + 9 = 4(x + 7) (-15 + 6x) + 9 = 4(x + 7) Reorder the terms: -15 + 9 + 6x = 4(x + 7) Combine like terms: -15 + 9 = -6 -6 + 6x = 4(x + 7) Reorder the terms: -6 + 6x = 4(7 + x) -6 + 6x = (7 * 4 + x * 4) -6 + 6x = (28 + 4x) Solving -6 + 6x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 6x + -4x = 28 + 4x + -4x Combine like terms: 6x + -4x = 2x -6 + 2x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 2x = 28 + 0 -6 + 2x = 28 Add '6' to each side of the equation. -6 + 6 + 2x = 28 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 28 + 6 2x = 28 + 6 Combine like terms: 28 + 6 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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