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Simplifying 2(2x + 7) + 3(3x + -5) = 5(-3 + 6x) Reorder the terms: 2(7 + 2x) + 3(3x + -5) = 5(-3 + 6x) (7 * 2 + 2x * 2) + 3(3x + -5) = 5(-3 + 6x) (14 + 4x) + 3(3x + -5) = 5(-3 + 6x) Reorder the terms: 14 + 4x + 3(-5 + 3x) = 5(-3 + 6x) 14 + 4x + (-5 * 3 + 3x * 3) = 5(-3 + 6x) 14 + 4x + (-15 + 9x) = 5(-3 + 6x) Reorder the terms: 14 + -15 + 4x + 9x = 5(-3 + 6x) Combine like terms: 14 + -15 = -1 -1 + 4x + 9x = 5(-3 + 6x) Combine like terms: 4x + 9x = 13x -1 + 13x = 5(-3 + 6x) -1 + 13x = (-3 * 5 + 6x * 5) -1 + 13x = (-15 + 30x) Solving -1 + 13x = -15 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -1 + 13x + -30x = -15 + 30x + -30x Combine like terms: 13x + -30x = -17x -1 + -17x = -15 + 30x + -30x Combine like terms: 30x + -30x = 0 -1 + -17x = -15 + 0 -1 + -17x = -15 Add '1' to each side of the equation. -1 + 1 + -17x = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -17x = -15 + 1 -17x = -15 + 1 Combine like terms: -15 + 1 = -14 -17x = -14 Divide each side by '-17'. x = 0.8235294118 Simplifying x = 0.8235294118
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