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Simplifying -7(7x + 3) + 4x = 6(-6x + 7) + 45 Reorder the terms: -7(3 + 7x) + 4x = 6(-6x + 7) + 45 (3 * -7 + 7x * -7) + 4x = 6(-6x + 7) + 45 (-21 + -49x) + 4x = 6(-6x + 7) + 45 Combine like terms: -49x + 4x = -45x -21 + -45x = 6(-6x + 7) + 45 Reorder the terms: -21 + -45x = 6(7 + -6x) + 45 -21 + -45x = (7 * 6 + -6x * 6) + 45 -21 + -45x = (42 + -36x) + 45 Reorder the terms: -21 + -45x = 42 + 45 + -36x Combine like terms: 42 + 45 = 87 -21 + -45x = 87 + -36x Solving -21 + -45x = 87 + -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. -21 + -45x + 36x = 87 + -36x + 36x Combine like terms: -45x + 36x = -9x -21 + -9x = 87 + -36x + 36x Combine like terms: -36x + 36x = 0 -21 + -9x = 87 + 0 -21 + -9x = 87 Add '21' to each side of the equation. -21 + 21 + -9x = 87 + 21 Combine like terms: -21 + 21 = 0 0 + -9x = 87 + 21 -9x = 87 + 21 Combine like terms: 87 + 21 = 108 -9x = 108 Divide each side by '-9'. x = -12 Simplifying x = -12
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