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Simplifying -20 + -6(4x + -8) + 50 + 13x = 8x + -9(3x + 4) + 14x Reorder the terms: -20 + -6(-8 + 4x) + 50 + 13x = 8x + -9(3x + 4) + 14x -20 + (-8 * -6 + 4x * -6) + 50 + 13x = 8x + -9(3x + 4) + 14x -20 + (48 + -24x) + 50 + 13x = 8x + -9(3x + 4) + 14x Reorder the terms: -20 + 48 + 50 + -24x + 13x = 8x + -9(3x + 4) + 14x Combine like terms: -20 + 48 = 28 28 + 50 + -24x + 13x = 8x + -9(3x + 4) + 14x Combine like terms: 28 + 50 = 78 78 + -24x + 13x = 8x + -9(3x + 4) + 14x Combine like terms: -24x + 13x = -11x 78 + -11x = 8x + -9(3x + 4) + 14x Reorder the terms: 78 + -11x = 8x + -9(4 + 3x) + 14x 78 + -11x = 8x + (4 * -9 + 3x * -9) + 14x 78 + -11x = 8x + (-36 + -27x) + 14x Reorder the terms: 78 + -11x = -36 + 8x + -27x + 14x Combine like terms: 8x + -27x = -19x 78 + -11x = -36 + -19x + 14x Combine like terms: -19x + 14x = -5x 78 + -11x = -36 + -5x Solving 78 + -11x = -36 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 78 + -11x + 5x = -36 + -5x + 5x Combine like terms: -11x + 5x = -6x 78 + -6x = -36 + -5x + 5x Combine like terms: -5x + 5x = 0 78 + -6x = -36 + 0 78 + -6x = -36 Add '-78' to each side of the equation. 78 + -78 + -6x = -36 + -78 Combine like terms: 78 + -78 = 0 0 + -6x = -36 + -78 -6x = -36 + -78 Combine like terms: -36 + -78 = -114 -6x = -114 Divide each side by '-6'. x = 19 Simplifying x = 19
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