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Simplifying 5(2x + -9) + -6 = 5(x + -4) + 4 Reorder the terms: 5(-9 + 2x) + -6 = 5(x + -4) + 4 (-9 * 5 + 2x * 5) + -6 = 5(x + -4) + 4 (-45 + 10x) + -6 = 5(x + -4) + 4 Reorder the terms: -45 + -6 + 10x = 5(x + -4) + 4 Combine like terms: -45 + -6 = -51 -51 + 10x = 5(x + -4) + 4 Reorder the terms: -51 + 10x = 5(-4 + x) + 4 -51 + 10x = (-4 * 5 + x * 5) + 4 -51 + 10x = (-20 + 5x) + 4 Reorder the terms: -51 + 10x = -20 + 4 + 5x Combine like terms: -20 + 4 = -16 -51 + 10x = -16 + 5x Solving -51 + 10x = -16 + 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. -51 + 10x + -5x = -16 + 5x + -5x Combine like terms: 10x + -5x = 5x -51 + 5x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -51 + 5x = -16 + 0 -51 + 5x = -16 Add '51' to each side of the equation. -51 + 51 + 5x = -16 + 51 Combine like terms: -51 + 51 = 0 0 + 5x = -16 + 51 5x = -16 + 51 Combine like terms: -16 + 51 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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