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Simplifying -9x + 124(3x + -3) = 7(x + -2) + -4x + 14 Reorder the terms: -9x + 124(-3 + 3x) = 7(x + -2) + -4x + 14 -9x + (-3 * 124 + 3x * 124) = 7(x + -2) + -4x + 14 -9x + (-372 + 372x) = 7(x + -2) + -4x + 14 Reorder the terms: -372 + -9x + 372x = 7(x + -2) + -4x + 14 Combine like terms: -9x + 372x = 363x -372 + 363x = 7(x + -2) + -4x + 14 Reorder the terms: -372 + 363x = 7(-2 + x) + -4x + 14 -372 + 363x = (-2 * 7 + x * 7) + -4x + 14 -372 + 363x = (-14 + 7x) + -4x + 14 Reorder the terms: -372 + 363x = -14 + 14 + 7x + -4x Combine like terms: -14 + 14 = 0 -372 + 363x = 0 + 7x + -4x -372 + 363x = 7x + -4x Combine like terms: 7x + -4x = 3x -372 + 363x = 3x Solving -372 + 363x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -372 + 363x + -3x = 3x + -3x Combine like terms: 363x + -3x = 360x -372 + 360x = 3x + -3x Combine like terms: 3x + -3x = 0 -372 + 360x = 0 Add '372' to each side of the equation. -372 + 372 + 360x = 0 + 372 Combine like terms: -372 + 372 = 0 0 + 360x = 0 + 372 360x = 0 + 372 Combine like terms: 0 + 372 = 372 360x = 372 Divide each side by '360'. x = 1.033333333 Simplifying x = 1.033333333
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