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Simplifying 5x + -8 = 3x + 7(2x + -10) Reorder the terms: -8 + 5x = 3x + 7(2x + -10) Reorder the terms: -8 + 5x = 3x + 7(-10 + 2x) -8 + 5x = 3x + (-10 * 7 + 2x * 7) -8 + 5x = 3x + (-70 + 14x) Reorder the terms: -8 + 5x = -70 + 3x + 14x Combine like terms: 3x + 14x = 17x -8 + 5x = -70 + 17x Solving -8 + 5x = -70 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -8 + 5x + -17x = -70 + 17x + -17x Combine like terms: 5x + -17x = -12x -8 + -12x = -70 + 17x + -17x Combine like terms: 17x + -17x = 0 -8 + -12x = -70 + 0 -8 + -12x = -70 Add '8' to each side of the equation. -8 + 8 + -12x = -70 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = -70 + 8 -12x = -70 + 8 Combine like terms: -70 + 8 = -62 -12x = -62 Divide each side by '-12'. x = 5.166666667 Simplifying x = 5.166666667
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