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Simplifying 6x + -8(5x + 7) = -9(4x + 5) + 3 Reorder the terms: 6x + -8(7 + 5x) = -9(4x + 5) + 3 6x + (7 * -8 + 5x * -8) = -9(4x + 5) + 3 6x + (-56 + -40x) = -9(4x + 5) + 3 Reorder the terms: -56 + 6x + -40x = -9(4x + 5) + 3 Combine like terms: 6x + -40x = -34x -56 + -34x = -9(4x + 5) + 3 Reorder the terms: -56 + -34x = -9(5 + 4x) + 3 -56 + -34x = (5 * -9 + 4x * -9) + 3 -56 + -34x = (-45 + -36x) + 3 Reorder the terms: -56 + -34x = -45 + 3 + -36x Combine like terms: -45 + 3 = -42 -56 + -34x = -42 + -36x Solving -56 + -34x = -42 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -56 + -34x + 36x = -42 + -36x + 36x Combine like terms: -34x + 36x = 2x -56 + 2x = -42 + -36x + 36x Combine like terms: -36x + 36x = 0 -56 + 2x = -42 + 0 -56 + 2x = -42 Add '56' to each side of the equation. -56 + 56 + 2x = -42 + 56 Combine like terms: -56 + 56 = 0 0 + 2x = -42 + 56 2x = -42 + 56 Combine like terms: -42 + 56 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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