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Simplifying -5(x + -4) + 2x = 6(x + -7) + 50 Reorder the terms: -5(-4 + x) + 2x = 6(x + -7) + 50 (-4 * -5 + x * -5) + 2x = 6(x + -7) + 50 (20 + -5x) + 2x = 6(x + -7) + 50 Combine like terms: -5x + 2x = -3x 20 + -3x = 6(x + -7) + 50 Reorder the terms: 20 + -3x = 6(-7 + x) + 50 20 + -3x = (-7 * 6 + x * 6) + 50 20 + -3x = (-42 + 6x) + 50 Reorder the terms: 20 + -3x = -42 + 50 + 6x Combine like terms: -42 + 50 = 8 20 + -3x = 8 + 6x Solving 20 + -3x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + -3x + -6x = 8 + 6x + -6x Combine like terms: -3x + -6x = -9x 20 + -9x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -9x = 8 + 0 20 + -9x = 8 Add '-20' to each side of the equation. 20 + -20 + -9x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -9x = 8 + -20 -9x = 8 + -20 Combine like terms: 8 + -20 = -12 -9x = -12 Divide each side by '-9'. x = 1.333333333 Simplifying x = 1.333333333
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